问题描述:
在任意动力荷载作用下的单自由度体系,程序是如何进行分析计算的呢?
解答:
任意动力荷载作用下的单自由度体系的求解,既是基于振型叠加法的动力时程分析的基础,也是程序生成反应谱曲线的必需过程。这里,我们以地震动加速度荷载作用下的单自由度体系为例,详细介绍程序的求解过程。具体如下:
1、微分方程的推导
在地震动加速度荷载作用下,单自由度体系的动力平衡方程(也称运动方程)如下:
![](data:image/png;base64,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)
等式左边的加速度、速度、位移皆为质点相对于地面的相对加速度、相对速度和相对位移。 等式右边的加速度则为地震动的绝对加速度。
对方程(1)做进一步化简,则有:
![](data:image/png;base64,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)
其中,
![](data:image/png;base64,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)
对于方程(1)或方程(2)的求解,理论上最严谨的解法应采用杜哈梅积分。不过,虽然杜哈梅积分也可以借助卷积计算、傅里叶变换或直接积分法等进行数值计算,但整体来讲,该方法在数值计算中的可操作不强,且物理意义不明确,数学意义又过于抽象。因此,计算机程序更多地使用加速度的线性插值进行数值计算,这也符合地震动加速度时程曲线的数字化原则(即相邻的离散时刻间的加速度值线性变化)。具体如下:
![](data:image/png;base64,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)
假设在某时间步内的直线加速度的斜率为 s,即:
![](data:image/png;base64,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)
同时,采用以下的坐标变换:
![](data:image/png;base64,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)
综上,由式(2)、(5)~(7)可整理得到:
![](data:image/png;base64,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)
方程(8)为非齐次的线性常系数二阶微分方程,其初始条件为:
![](data:image/png;base64,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)
由高等数学的知识可知,方程(8)的通解由两部分组成:方程(8)对应的齐次方程的通解 + 方程(8)自身的一个特解。即:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWsAAAAjCAYAAABSOivNAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAkdSURBVHhe7d0LUFNXGgfwPwg+WJGHMcHRURdc1LXLS9xdH9jSVqW+UFGpNevqFge166OOgyzgzoDUWtft+LaOjy11OiK+pb4AsRUVCypC1EqVYMpDQCKPhAiYm7OB3BaLSQgRKNHvN3OH3G/OjWcOM/97cs41WDEtEEII6dSs+Z+EEEI6MQprQgixABTWhBBiASisCSHEAlBYE0KIBaCwJoQQC0BhTQghFoDCmhBCLACFNSGEaGkqb+HoqQeo48/bRL0M5498DznHn78ECmtCyGtPU5mGqNmf4MnwAejG156nVqmg5l8bpFZB1bxR1/7w6LIP81afh1zD18xEYU0Ieb1pynBq+ccoXLIV/3DryhcbcKgpkeD05oXwGTQJCWV8uRmupgSS05ux0GcQJr3QqAv6ztiIcHUkFh0s0r6j+Sis9am9h/j96ah4yTshIaTzU1yJQdRPIYgJ7KuNVp6mApdiQ7Fi01nISjIgeVyPF+NAg4pLsQhdsQlnZSXIkDxGvd7McITf6hCURaxBUgVfMgOFtT6qOzj45SWUtvi5hxBi0TSl+CbmGAb8MwiDfklqLWsnjIvai72bwhDs5cQXm7OG07go7N27CWHBXjDUqkGXgcEIH5GMmMMFZs+uWwhrDbjOMrvUcHrubJ1NJxovQkiLNKXnseN7N8zz68NX2osTRn0wHNnbT6HQzLQ2GNbqojPYEBmNKPFYBO3KbdohrbmB2KmB2JhTyxfamxpFZzYgMjoK4rFB2JXbtFdbcyMWUwM3osO6YkTnGS9CiKkU2SeQ0/tdeBubFrcRB6+JEN09iswqvtBK+sOaK8CJbbfxVngExMPKcXZ/Gsr5GaPqbjz2JRWge08bXUEPxXeL4drVClZWphzWEEw5hFIDM1Ku4AS23X4L4RFiDCs/i/1p5fwMW4W78fuQVNAdTV3hoCx+AMn1LEgVHTjFfcnxIoT8FjiU52RD4TIEouf3FduJTW93uGp+wM3Cer7SOnrDmiu+hlvugfDpJkVighQu/l5wamypRvHlZBT1G4/RLobDx97vc2Q+LIRMJmv5KCzAnYNBEOnvCYqv3YJ7oA+6SRORIHWBv5eTrtPqYlxOLkK/8aPxS1e4cmQdi8WUkdOxJ8+8ATHHy44XIeS3UIuSvCfoJuzVtLHYnmyd0c+uAvdLn/KFVmr4SzGG1Epi2FBbNxaR9VRX4B6xr/3tmECczCp1lQ5SyyQxQ5mtWwRr6srXzN9OwMTJv+7J05thzFX0AUuu5gtG1bCsT6cxX09P5vn8Mbw/s4WAuXs0q3v7s49T5Izjr26u84wXIaRl1eyCuBfrJb6ofWVY+cExDBjFDpTyBX3KD7Ix2jgdZayR8jIL6WXNAhIr+ELrGPmzXnW4E+sF77hZyJSsg2d3banqPOa6BkG+U4pzwULDC961xcjJykOVSU9TWMGunye8Xe0Nv1/dHcR6eSNuViYk6zyh68pcuAbJsVN6DsHCn6/kIN3qC+8Ta/Bj6vsQ8dVWe3IUgdMf4LOUNRhq8scj08aLe/wddu44ifR7TpgnFuDOvWoo839Cn4Xr8ZGvg+ExIIS0sRpcXTwAbxd9hZLEyXDkq83J48dCMFeDA6VXIRbyxebk8RgrmAvNgVJcNdRImwdBwkB0+eYxEsbb80XTGcmGKuSkPITDaH+4NgSPlio3CemKwZjk64zq9D04amCpQSX5AisWzMf8+aYcC7Bo/WVU8tfqVZWDlIcOGO3v2hjUDevVuUnpUAyeBF/naqTvOQpdV+S4fjIPLm88QlzsenwSuRTLt2dB2XhNezNlvJR4cCIRTsFz4JIWg39n/xlLV61B2Jyn+M+i3bjfcSs3hBBtmvQd4oy6smqzH6drFU6J8vrecHfR938kW2Z0ImdlbQN7kb1uPUdTiYy4BMictTNXoRLZySUQCvRPO+1GxuBibj7y8005HuDm3vfgzF+rnxWsbewhstetLGkqMxCXIIOzrzeEymwklwjR2BWFBIlZCjCrYfj7vyIQ/qE70jZ8jgxF42XtruXx6g6nsYvxXveb+Lbqr1gV4o2e2t/AM0UZyvJzUERhTUgH6gKBhy8ciyUoMvKFIFzj87gMGmPPLHC6R4uZkUbqx/cgs/0jRvQ3bzfTSFgLMGHtYohSdmDf4UPYFbsR13xCMcFRhtQDW5AonIERDnzT9iaYgLWLRUjZsQ+HD+1C7MZr8AmdAEdZKg5sSYRwxgg0dKU27wLSbYOxJToAIm1iKu+no/h3bhB2wE6vaeNlA+GwwdDcOI77AwIxsnfD8Nfg7ulrqPuDHwb30L0TIaRj2HtMh1dlEjJf+OIOFXJ2LIN45kRMCb+hPb+JqMAAzBQvw06JStdES5WzA8vEMzFxSjgaW0UFImCmGMt2SrTv8GtPss6j7E+z4WtubjauXBuhrpSyrIwcJqtW6wpPS1hunpw90511IDWrlGaxjBwZa+pKLsuT/9wTNZNu82GO/vFMt8RfyZLmuTDXsOvsKac2uCmol/wIm+a3gf1Qx5+3QsvjpWCp83szwYJvta8Y40qOs2CRG1t5peGMENKxytmxaX3ZW18Vty4jWk3Ojk3uw/y+LDL73zGywWhp5DgyYTBiJ1/H9RVusFFcwN+GLIXruTSMP7Mb3JK1eNPUO1qdFKcTFRg3yxOt3wZoQV02IoeORMIbSxA6ZSCKUy5CM2crPpv9e73f9kUIaV81GWsweqUIhy+tgns7PWHLyXbjnYlZiM78Am+aGSqvTljXXMFHHqEQHL+BaA9t7CkvY7nfaljNeBsO7h8i8n23ThGG3MPtGDE8HqvzUjEVVegm7IPuRncOCCHtqwIXlk7C/945hrig577Mqa1wj3Bk/mScnH0WcdNFZj/x9QrNrDkoK+rQw8muabDVVSir6QGhQ4csWptAg9KD78I1OgBZt8Pa7S5OCGkl5S38N2QzHGJ2I8S9Lad19fhx9zwsL1yJQ+vGNO6tmesVCuvOrz7/CD7deBrSZ44YFrgSq6YORGe5jRDy2qvJQ8pVK/iNd227T+H1MlxIVeEvAcPQky+Zi8KaEEIsAK2WEkKIBaCwJoQQC0BhTQghFoDCmhBCLACFNSGEWAAKa0II6fSA/wMHDzPXCbfwdAAAAABJRU5ErkJggg==)
2、齐次方程的通解
对于以下的齐次的线性常系数二阶微分方程:
![](data:image/png;base64,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)
假设 λ1 和 λ2 为方程(12)对应的以下特征方程的根:
![](data:image/png;base64,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)
a. 如果 λ1 ≠ λ2 且二者皆为实数,则:
![](data:image/png;base64,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)
b. 如果 λ1 = λ2 = λ 且二者皆为实数,则:
![](data:image/png;base64,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)
c. 如果 λ1 ≠ λ2 且二者皆为复数,则:
![](data:image/png;base64,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)
对比方程(8)和方程(12),则有:
![](data:image/png;base64,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)
其中,有阻尼体系的圆频率为:
![](data:image/png;base64,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)
故,特征方程(13)的复数根为:
![](data:image/png;base64,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)
整理可得:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWoAAAA4CAYAAADU6bKrAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABLSSURBVHhe7d0LXI33HwfwT/dQQkhREnJPDbEstLGZZcOu1libtpn9jZm/UTaTud9y18awuUfkbhtSZuRWoURFF111upxu53TO+f5P9XS/X9jJ//t+vZ4Xz7fHcTzH+TzP8/v9nt+jRkpgjDGmstSFXxljjKkoDmrGGFNxHNSMMabiOKgZY0zFcVAzxlgVFGmBOHwsHBJhvVFIo3D20FWkyIX1WuCgfspSrx2Ef2IdPhHGmEpQpPlj/ruLIepjBh2hVkQhSUd6rkJYq4JCgnSRGFJhtZh2J1hpbIfT7LNIqeElivDwvKdKjkc7v8Quvfdg10obbXsMRH/T5nx0ZEzVKZJw1HkMvMcdx44JxtAQyllhB7HCwxdpyuROuR+AqzGd4LTEA3PHmkNX2AZZodi3dhcCs3Vg0FKOB3+cRnSv6diwwhm9WwjbIA2+00di/RAfeDl1LH79KuUHNWt8cvEd2vWfUWTr8D45vTWWxo8bQ+PnX6RU4eeMMdWV4fcV9Rm+hR7KhIKSXHSeXCctpStpcqEgpuvuNqSB7jTTN5UKq2K6NHMgDfvvMYqWFBQo7+FWstMEdZzyJ4kKSwVkj7bQUDMnOlW6WAUO6qch5y6tHqZHze2WU1CWUGOMNQ3yBNo70phe90oSCvnkFL9nFHW0nkwbb4mFWv6m+2ikNkjzpV8pNj/UZdH0y2A1AgbSlkdCymecp4/bgmC5gIJzC0uFRHR8fHsa4hlNpY4HlWrwVbiilm0s/z8USPSZje/9DPDJimmwai6UGWNNgiLxLDZd7Qon+3ZCpRApZEgO/B07/RMhE2rqLYzRuTUgS4hAcp6yoGGKSd4BOH/1KJw7FzZoyNMi8UAEtB08FKZlGrtb48UP+yBo4zHE1tCNVa+gVqTfwvZvv8CsH37C8qWucHH6FrtDs4SfypCZ3qh9pE1MHlLCHyJbzRx23fWEWjmScBxYdwbxVXw44otfoUfLPnC7kS1UGGPPijjoKIINR8JGGcAl1GE80QdhdyPx17Su0BSq8tRwhCYDzbpbwVi7sKZjMhAOth2FNutM3Nq2DoGmk7DxJwe0KqiVMLB+DUYhh3EtXShUoc5BLYn4Dc5DJ8LX1g3L3OdjnttPWPpeNL4b/yOuKrNa/vgI3HeFCVs3kPgiplpoQ01NrVaLeltHHEj8t0/xdWAx/nM4GNzHoZP/4Oq5Y/D2OYegpKK+XzniTvyMsP6DYVRFD4KOqTXMEY1bMf/PBzzG/g1yPAkOgrhDDxgJwVtMQx/mvc1hUPy9lSBs70ZcQT/MWewIo9JpKo3CibVumOpoi7dOjsAe/21436wo3ktoGlrCQhGKm7EVxoaUUbdRH7nBWDx0ENZ0PYh7+99CO+GNKWJ+wZBuCzH4wl3MejAf3tYr8W3/4j7QBlAgOyUBqVky5e6riQY0dFrCyEi/+Gj3r8kKwS9fTscxaXvo6bRAC7kE7T9YgUWOxtDIvY31rrcwdsVkdBHeqFx0D6FSC/TtUPQ/IxN+M97GGacjWGLLbSeMPTtZ+PuLTnglYQ8SfMZUOAMuTRq+BWOGLIbhWn/8PqkLyud6AXkqrq2bCMeVcnzttR9zXzIsO8Ij8yImd3gNOUcS4TXKQChWoqClupZEJ9+jVmhPn17IECoCkQ+NbaFLr+w8Totm7aeomlrGm4K8SNr6citSU+6i/N1U7dKsH80LyCz8c5lBtNbpY9ocLKyXk3t7PX2zt3TngZj8Pu9JDjseC73G+TLI13U2nU4RVhljz0gGnfuoJbX86ILyd1WTiy7S3Bf700c7wihHqFUpJ5Dmd1PmhJEznXpS8i0vkHmJXFqq0+jj1Y8Hq0PTRxZCT/+NtOa2GGulL9QEaprQ1sjF3d1HYfTZOJjVOCiwtnIRF/wP/P39a7VcuhEJcWO1fGh2wRfnUqEoHBlT/ZIdjCWD8gdISnBnw2z4OvyIz/oVD5gsI/1BKPQ6tyk5qsriEHDHEI52bYvboRRJfjiRPRwD2ggFxtgzog7dFpqQpGVVfRWffQdbpq2A3O00djhbQle5pTguCQX3v+Q+xIl1y7D9UkmHI3RNMaC7LpB4FDuviYWiQJYJUa4W9HWqD806BLUCkiwpYGKNLuWvxtU0oKV8JQP7GZjcs/w9PA2QfRtbZzhj8uTJtVqcP1uCS2nCn/035IZg7/5MjHzZtIrmFxkyYmIRl5HfPVwo9/5JnKKRGGkmXDgpg/v4T1uh+c5wlO1zZow9fbow7tEGkqSMyoNaFo1D81cj7ctdWPqGceH3XPoAu5edQaLy+jrz+nJ8PnMeXKbtwaPipFZeditP6ABt6OmWi1x5Jp5IDWHZofrcrENQt0CfscPRPiceqSU5o8zvVNw4fAKRUk0YmLaFliQJUaJS77Ahmg+C+4UwPHz4sFZL+M1teP3fPAuV5yAj9S727rkKUaWfsib022Xj1PeLsM//Cs7udMWEcasREroPGw5ewpVT2+D2jgO+y5iCGUPKXbUwxp4BDbS1GohWcbfxuHxfviIFF+ZPwlqRGbSv7YTH6tVYsWQB5s74DntlpmijPCluZjYE1t1fxSKPiTAvOltLD8KZIOWL9foUnw8s+72WJd9DlFZvDOhUaQt3CWXS115eNHl/8yq9+tVGOuSzn35Zt4KWLN9KJ+4lUeDSEdRr3BLa8P0s+jmkxlab51QO3V7lQHrK3drqhffIddsFephZtk1KnniCpnQW2rZ1rWn6sTDym91TaO/Woh6f7KaIMoPiGWPPVNJ+GqE3gLY9Lv3dlVOC13gyKPieVlxsNkQK/U55FHvMjZxd3GjD/j/pSsAftMHJktr2c6btIRXvfkvcZ0/NXvCk6HJN1+XVa64Pqegh7sUoYNyzC9rpFLesIuvxfSQ0s0DXNjUcHZ5ruYg+tw2r1mzCjlP3kKllhmGTv8WS5V9hqGFhO5QiNwFhoU+g170XTPWUNUU24kJCkKLfA70769d83z9j7ClKwZG3+mH9OzdwbpJx3ccwKynE4fj7r79xJ04Boz6DMfyl3jCs0B4qwhHHnlj7biB8Pzap9u/hSZmeIkn8VXhv34RVy35HxoxbuL3YumTiFsaYysoK+A52M43g5TcLlpV3ODWYPMoTr7x2CwuvbcXwGlo663OwYLUgS7qN+2o2mDh/CzZMsUFXi9bQEn7GGFNtLWznYo21F9x94mtxD0c9yONxxNUTpssWwr4W3VF8Rv205D7C2d3HECJKQSINwrRvHFE0sIMx1gRkBmK1iwcM3D3hYtmIo9kgxX1PJ3wdOxMHFg1FNbe5FOOgZoyxqmRF4K/LarAfZVHh4QH1Jo3CufPZGDy6F6qYDagCDmrGGFNx3EbNGGMqjoOaMcZUHAc1Y4ypOA5qxhhTcRzUjDGm4jioGWNMxXFQM8aYiuOgZowxFcdBzRhjVVCkBeLwsXA06mOmpVE4e+gqUuowiUjDg1qRiZAjW+CxdhWW/vANpi88jPBs4WeMMdZEKdL8Mf/dxRD1Matw+7hCko70gmdv1YI8DeG340rCXrsTrDS2w2n2WaTU8iUadgu5JBLeHruRMMgFLi+bQBvpODdlAP5rehiXf+zPU3oyxpomRRKOOo+B97jj2DHBuHiO+Kywg1jh4Ys0ZXKn3A/A1ZhOcFrigbljzavIOxmid78NO4+X4XdlBiyKp0xNg+/0kVg/xAdeTh1rnoM+P6jrR0zXPGbTpsDST9vOoZvzLKiZ3W+UIFQYY6ypyfD7ivoM30IPCx/bUkAuOk+uk5bSlTThcSxyMV13tyENdKeZvqlU2UNaZLEHaWJHEPp7UESeUBTIHm2hoWZOdEokFKpR76aP3KDt2Kv/BVz6l3ratjwRARfiYPhCt1rPCsUYYypFkYgT7t4w+8/bMC8+1VUg6fRS7LodiusPhbZddT3YfD4HDtoPsHH+EcSXb3OWx+Pk1uuwtDWs9IxZo/P7mDvgT7h7xdQ453U9gzodAd7xGPVWN5RMsayA+OpmeDx6BT/OGoBS8c0YY02GIvEsNl3tCif7dkKlEClkSA78HTv9E1H0+G71Fsbo3BqQJUQgufRDv5XRm3BmK27afQH7VlXFbGu8+GEfBG08htgakrp+QZ0VhsvSYbA1lCPuyHSMfeNNjHawh92H/+Ajnz34pMvzMEO+BOEH1uFMhcOkQHwRX/VoiT5uN4QCY+x5IA46imDDkbBRBnAJdRhP9EHY3Uj8Na0ripqa5anhCE0GmnW3gnGp2JMn/omtAbaY+mq7atufDaxfg1HIYVxLFwpVqFdQS2NuIblfX7RSvgWjkbPwo+s8rNixA64vROHw0XtotEEfyjCcaqENNTW1Wi3qbR1xILGW3ag1kMedwM9h/THYqIrdrGMKa3Mg+laMUChNBnFMGIKvByI6u3HeD2PsWZDjSXAQxB16wKj8+aaGPsx7m8OgOBIkCNu7EVfQD3MWO8KoKE0VSTjveRkDpo5Gh+pSWknT0BIWilDcjJUKlcrVI6gVSA6+D3Mro4IjhYZ+FwwY+iKszC0weEQbBP/6C25kFm7ZYPr2WHPtEWKjohBV4xKLmLv78Hbx3mqIXIQc+ht9J72E1kUvJxfh3p0EFO9ObQtMdPsEdtYmQqEUaTwuH/geowZ9hENxHNSMNR25SIgQQad9yxpHYkjDf8XXK5Pxzk4fuNo0F6rKfLzgCT+rLzDGuKZXUNJqg47NU/EgMUcoVK4eqZaOkMCWeMG8/MhCCRIfJEOeLUJmUQNOg6mjuaEJOpqZwazGpSM6GukXX5I0iCQcvo8GwcGs5NUyL8/D+K/P4Emp3CXSg9WwbsJaKdqmGDq4JbQsRmOYyVN6hDFj7ClQQKK8CtZp2bzaoFak+mHBZE8YrzqPXZO6FPfVKUR++Nm3L6Y61mLIXT41Teho5CFTUv0o6boHdX77dGZ/dC8/rEOWhBv/PAYs7NCt6ODSYLmIC/4H/v7+tVou3YiEuDFOYNMfIFSvM9oU72kZ4gLuwNDRDm2L9pjy8sbvRDaGD2gjFEqT4NE5f8hsR6F7o+0LxtjTpw7dFpqQpGVVPRIj+w62TFsBudtp7HC2hK5yS3FcEnIVUtzb7o6jQd5wc3GGs3P+8iWW+z6BPGIP5kxxwX9/Cyu58SWfLBOiXC3o69QQ68IwvVqThCwnh3eOUIqwXkQStoYGaOnT679FU6mhhw2TFUDfj7Akc3PzWi1dbabQqfJvrB7yHqyjsVNOU6qwTjl3ac3LL9KCoByhkEePj04nx7mXKEOokFxEVzbPppnzl9LKZe40tacBjdgTX+nYSsaYqpJR5JpuBNu99ESolJEXRV7fONNPF5+U5JwklDZP30WPKg2+J3RgmHql46gLpByiYTAht2CJUKhcHe9MVODxgc8w3asNPtu8HK+3F04vpZHY+cFwLNZbhXO/vo9SLQZNU+I+jLRZg/6r1+DdNhE4tm4JfruVjBaO67B9SlvcO/4zVh5upTxSbse4gt4CMS7PGY5PRe7w83REm4iV6NdnFz4LDcSsbtz0wVhTIj43EWbOXXAxfAmsSrfwKlJwwXUC5ieMwLh+LQuaI+SSDIhiAvG32kyc2uwA/cItS0nGPnsjfJixGg9ufIPycSALW4xu/XyxNvFPjC8zyqScgriuNRH9MW8B+T74g5bP+YE8fvehk15b6fuPx9GU9f9QSqOdSv/L5Il0Ykrn/AOYctEl6+nHKMxvNvUsWAdp9fiEdkfkChsT5Qa7U29da/IILzxkiv1cqJPFt3Qtq2CVMdaUJO2nEXoDaNvj0tfDckrwGk8GQgaUX2w2RJZrSZBRwpkfaPLYodRFV7mNlgkNen0izTkQSaXPnRP32VOzFzwpuoZL77oFdeYVWjL3ZOElgTyHEsNuUkBIAuU8j9f3yn9ffMhNuh0tFj4AOWU9vk3Xgh9RRplPRHmptL4vqVssoOCC7JbQHfeeZPTBGUqT5ZX78Bhjqu8Jeb9pTCN+i3vKTZcp5P1GO7Lf+bjGv6dOnYlS5Sl+ilX++GkldV20t7TBoF5G0K17l6TqU/77OvSyQV9TPaH3Vh3NTfpiYL/O0C/T7q8GHT096HfqBZP8y6TsUHjvj4XlGz3wcNNCnEku3Iox1lQY4lW3SRBt2YfwRhvBVpE8ygvrwidg0QSTGkd11CFiFXhyOwJdrQvHT7Mi6ujw5gI4a3th06+/YNXS/ciwNEPe9X3wlryGoWXvQmWMNQEtbOdijbUX3H3ia5yHo17k8Tji6gnTZQthX7Fhu4I6dCZKEeN/CTLbl9Gl/BBqptzxWUhIyEPbjq2gqZBAlJANPZPWpeZCYYw1KZmBWO3iAQN3T7hYNmboSXHf0wlfx87EgUVDYSBUq9Ow+agZY+x5lhWBvy6rwX6URYWHB9SbNArnzmdj8OhetZ5llIOaMcZU3PPYDcgYY88VDmrGGFNxHNSMMabSgP8Bq80X8PS5trkAAAAASUVORK5CYII=)
将式(23)、(24)代入式(16),则方程(8)对应的齐次方程的通解为:
![](data:image/png;base64,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)
未知的积分常数 C1 和 C2 可由初始条件确定。
3、非齐次方程的特解
对于以下的非齐次的线性常系数二阶微分方程:
![](data:image/png;base64,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)
对于式(26)中等号右边为多项式的情况,由高等数学的知识我们可以得到该该方程的特解的通用表达式。这里,假设 R(x) 为二次函数,则有:
![](data:image/png;base64,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)
当 b ≠ 0 时,方程(26)的一个特解为:
![](data:image/png;base64,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)
对于单自由度体系的动力平衡方程(8),A = 0,所以:
![](data:image/png;base64,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)
因此,式(27)简化为:
![](data:image/png;base64,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)
根据式(8)、(17)、(18)有:
![](data:image/png;base64,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)
将以上各式代入式(31),则方程(8)的一个特解为:
![](data:image/png;base64,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)
其中,
![](data:image/png;base64,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)
4、非齐次方程的通解
将式(25)和式(36)叠加后即为方程(8)的通解,相对位移的表达式:
![](data:image/png;base64,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)
未知的积分常数 C1 和 C2 可由初始条件确定。
对式(39)微分即相对速度的表达式:
![](data:image/png;base64,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)
将式(39)和(40)代入初始条件即式(9)和(10)中,可得:
![](data:image/png;base64,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)
化简以上两式,则有:
![](data:image/png;base64,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)
故,积分常数的表达式如下:
![](data:image/png;base64,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)
5、总 结
单自由度体系的动力学平衡方程的解答如下:
a. 相对位移:
![](data:image/png;base64,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)
b. 相对速度:
![](data:image/png;base64,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)
c. 相对加速度:
![](data:image/png;base64,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)
其中,
![](data:image/png;base64,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)
等间隔分布的地震动加速度时程曲线如下图所示:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgsAAAFNCAYAAACOtiwiAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADKUSURBVHhe7d0JnM1VH8fxH8Yy9uxLtkKyJGXJWsq+5BGSSlJIEVJRaSNrJSpLm8oua5Z6iCd7CkWW7EvZ922MmTHL43c6E8b0N5i5c8/M5/089zX3nP+M7nCX7/9/zu+cFFEXCAAAwL9Iab8CAADEirAAAAA8ERYAAIAnwgIAAPBEWAAAAJ4ICwAAwBNhAQAAeCIsAAAAT4QFAADgibAAAAA8ERYAAIAnwgIAAPBEWAAAAJ4ICwAAwBNhAQAAeCIsAAAATz4LC2FhYfLCCy/I999/Lxs3bpSuXbvKvn377FEAAOCvfBYWtm3bJkOHDpWGDRvKhAkT5KOPPpK+ffvaownv1KlTMnfuXNsCAABxlSLqAns/QYWHh8vAgQOlRo0akjt3bhkzZox06dLF3PeFwYMHy3//+19ZsGCB7QEAAHHhs7CQ2AoVKiR//fWXHDlyRHLkyGF7AQDA1fhmGCJkvfSrUEAaTDlsOyJkz1cPSIHK78kfobYrAe3cudMEBfXNN9+YrwAAIG58NGchXM4ePyonQi5exIg8d1KOHD97ITYkvHHjxtl7YoY/AABA3CX50kkdZbk0IKxcuVI2b95sWwAA4GoSLSz4aqLETz/9JDt27LCtv40dO9beAwAAV+OjsJBCUqSIkojQcIk07XAJOhJk7yes2IYdNCxERvrivw4AgPt8ExZSZ5Wbb4qUbd8vkX3hImH7fpARY7bKeXtYBW+fLn3aNZeHWr8mX04eLH0nbJcbnfsYEhIS64TGPXv2yOLFi20LAAB48U1YSFVAHurznBSZ96gUzJhJspZ8RY7ef49kS2WPn/ifdK33oqy/o510b5lNZnd9ST6ct0fC7OHrNXv2bLMYU2yY6AgAQNz4dp2F0COyc+cpSV/oFsmT/mJOObXgUSnzWlVZsqKTFE4VLjuG3iMPrHlP1o+uKZns91yPxo0by5w5c2zrchkzZpSDBw9KhgwZbA8AAIiNbyc4ps0pt9xe9LKgoCLOHJOQtFkl0FxpCJAM2dJL9EWH63Xo0CGzYuO/CQoKkhkzZtgWAAD4N74NC/8iY6l6UmT3JJm7O0wkbJfMnbReztpj12vixIkSEeG9igNDEQAAXJ1fhIU0xdvLpy+lloFVbpXid7WU8afTSZrUqSSFPX494hIEdJ8Idr4EAMCbX4SFiIO/yPLUneTHv/bI1g0/ypulM0i2W3JIGnv8Wq1fv17WrFkj+fLlk06dOpltsZ9++mmzP8TSpUtlwIABUr58ebNg0/jx4+1PAQCA2PhFWEiVMaPs//IxeaDRY/LEQ7Xk8R/Ly4uPFr3usKALMWlA0BLJYcOGSf369aVAgQKSPn16qVatmrzyyiuyatUq2b59uxw7dsyEBgAAEDv/2XUy/LhsXvmb7I3MI2UqlJbcaW3/ddBfKUWKywcxevfubdZc+OOPP2zP36J//ZjfDwAA/uYXVxaMgGxSokotqVXtxoKCupYPfv1eggIAAP/Of8ICAADwS4QFAADgibAAAAA8ERYAAIAnwgIAAPBEWAAAAJ4ICwAAwBNhAQAAeCIsAAAAT4QFAADgibAAAAA8ERYAAIAnwgIAAPBEWAAAAJ4ICwAAwBNhAQAAeCIsAAAAT4QFAADgibAAAAA8ERYAAIAnwgIAAPBEWACAeBIeHi6zZs2STp06SUREhO0F3EdYAIAbcOLECZk4caI8+uijkjNnTmnSpImMGDFC7r33Xtm1a5f9LsBthAUAuEZbt26VDz74QGrWrGkCQuvWreXAgQPyxhtvyMyZM6VYsWJy6tQpueOOO+Srr76SqKgo+5OAmwgLAHAVOrywePFieemll+S2224zt759+0q+fPlk3LhxcuTIEVm4cKF0795dChUqJIGBgbJq1Srp0KGDPPXUU9KsWTM5evSo/dMA9xAWACAWMYcX7rvvPpk9e7Y0btxYFi1aJIcPH5bx48fLI488IjfddJP9qYvSpUsngwcPlgULFsjKlSulTJkyMnfuXHsUcAthAQAsr+GFLVu2mNv7779v5iMEBATYn/L2wAMPyPr1603YqF+/vnTu3FmCg4PtUcANhAUAyVZswwvvvPOO5M2bV8aOHXvZ8ELx4sXtT3nToYmePXva1t/0yoNepdArETpscffdd8tvv/1mjwL+j7AAIFmJHl547LHHJFeuXJcNL2gw0OGFCRMmSKtWrWIdXrgavSKhQxex0f5169ZJnjx5pFKlStK/f39KLOGEFFHJZJpu79695ZtvvpE//vjD9gBILrZt22YCgd6WLl1q+qpVq2YCgt7ietUgvkRGRprhjl69ekmFChXMVYwiRYrYo4D/4coCgCTn0uGFEiVKmDAQc3hBJym++OKLPg8KKmXKlOax6cTHkydPmhLLr7/+mhJL+C3CAoAkIbbhBV1NsWHDhvEyvJAQypYtK6tXr5b27dtL27ZtpXnz5pRYwi8xDAHAWf42vHAj/ve//0mbNm3MHAa9ylC3bl17BEh8XFkA4Ayv4YUxY8aYqweJObygzp07Z0LMtdISS538qGWZ9erVk+eff54SS/gNwgIAv6Zj+pMmTbrq8IJWGmTLls3+VOLRtRp0OOF66OPXoRQtr9S5FZRYwl8QFgD4nc2bN8ubb75pFkfKkSOHPP7447Jv3z5TPaDH9ANZV0fU4JA6dWr7U0lDihQpTDDSqwy5c+c2JZYDBgygxBKJirAAwG/oMMPQoUOlXLlyMnDgQLMeQczhBV04KTkoWLCgmcegazG89dZbJhixiyUSC2EBgF9YsmSJCQm6+mGtWrWkRYsW/+zN4A/DC4khVapU8vLLL5tNqbTaQ6snRo8eTYklfI6wACBR6d4LugeDTuzTpZJ1HwXdpTGpDS/ciOgSy6efflqefPJJE6SOHTtmjwIJj7AAIFFEDznosIJeVZg2bZrZldGlckdf0l0shwwZIvPnz5eff/7Z7GI5b948exRIWIQFAD4XPeTQo0cPUyKo65889NBDZnKfql27tpmf4KKiRYuaSoaEokM0OvmxevXq/5RYarkmkJAICwB8JuaQw4YNG6Rfv36SIUMG+x1/y58/vzlzdpH+Lrp8c0LSORxaTqqhRCeAUmKJhEZYAJDgGHKIf3oVRktK9SqDrj9BiSUSEmEBQILScHDXXXf965ADbkyhQoUosUSCIywASBAHDx78Z8hBl2P+tyEH3LjoEkvdxZISSyQEwgKAeHXpkIPu48CQg+/ceeedlFgiQRAWAMQb3fkxesihc+fOsmnTpusacti9e7dZiMhF+uE8Y8YM2/I9SiyREAgLAG5Y9JBDjRo14mXIQZd2Hj58uG25Ze/evfL222/bVuKJWWLZpUsXSixx3QgLAK6bDjl8+OGHDDn4qUtLLHUOAyWWuF6EBcCDztzXLZJxpeghB51YdyNDDkhYMUss77nnHkoscc0IC0AsdBa5TtIrVaqUZM+eXR544AHT3rFjh/2O5EuHHJ544ol4G3KAb0SXWPbt2/efEkudGwLEBWEBiEHHddu0aSPdu3eXm2++WV577TVzRqbj0LqUrwaIV155RZYvX56szs4uHXLQOQUMObhHSyx18ml0iaWuNEmJJeKCsABc4q+//jITwmbPni3fffedFC5cWOrUqWO2Sj5y5Ig5M9P2lClTpFq1apInTx5TojZ9+nQJCgqyf0rSc+mQQ6dOnRhycBwllrhWKS4kymQRKXv37i3ffPONGYMGYqMT9PRNM2fOnPLtt99KsWLF5NChQ5IlSxZTjnYpfdnoc0lDxaxZs0yJmm6pfP/998uDDz4ojRo1kgIFCtjvdpcOOeiZqE6Q082dPv74Y3NlIaGFhoaaKxkuDm3oc0NvKVO6cS62YMECcyVNH/PXX39twjAQE1cWkOzpm+SwYcNMqZleVdAPfg0KKnfu3FcEBaVn1NHDET/99JP5UP3kk08kMDDQnH0XLFjQ7KqoY8N6BhcZGWl/0g0xhxymTp1qavV9ERRU2rRpnZ0Doc8NV4KC0uf9+vXrzXO/bt268uabb9ojwEVcWUCyFhISIs8++6wZt33nnXfk1VdfveE3ev0zFy5caK466E3r7nUiYOPGjc1NJ0tqqPBXOuQQXd3w0ksvSa9evZi8mAzoR8H48eMlY8aM8p///Mf2An8jLCDZ0g9xHXffsmWLTJgwQRo2bGiPxB99ea1du/af4Ypff/3VBAW9pK/BQYcrdN6DP0isIQcA/o9hCCRLy5YtMwvUnDlzxswMT4igoPSStA5H6KVdHY7Yt2+fKcHUKgrdgVGvOOjWwlrOpnXwiZHddcjho48+SrQhBwD+j7CAZEU/jEeOHCk1a9aUypUryy+//OLTD8V8+fJJhw4dZM6cOXL06FGZOXOmWbtf50zoToFafaEh4ocffjCT/BJadGjS4YboKodmzZpR5QDgMoQFJBv64du+fXt57rnn5PXXXzfljpkzZ7ZHY6ezw7WcMiHoPACtnPjiiy9k//79Jrjo/gpLliwxE81y5MhhqjPGjBljgkV80ioPnQGvk9p0EqdOcOvfv7/fzE3QqzA6bOiiPXv2mPkvrho4cGCiXOGCfyMsIFnQD2NdsW7y5MnmbF6rFOIykXHUqFHy559/2lbC0cdSsWJFMxzx+++/m5X1dEne06dPS7t27cwHun6wv/vuu+bs/3rfzKOHHHQhpR9//NFvhxx0Vcj//ve/tuWW48ePm79XV+kkXyAmwgKSPC1t1Evt+iau8xP0bN7f6dK8WpGgH+R6VUHPsm+55RYTFkqWLGk+7HWFSa26OH/+vP0pb5cOOejVlc2bNzPkACBOCAtI0j777DNzRaF8+fImKJQoUcIecYcOlTRv3tyUd+rwgZY2ahWHnnnrIlC6FPWjjz5qdheMbdOr2IYc9KoF5ZAA4oqwgCQpLCxMOnbsKM8884xZOEmHHnQlRtfp2v66zPSgQYPMcMS2bdtMpcWBAwfMzoK6+qQGCK242Lp1qxNDDgD8H2EBSY5+cGq1gy4wo5MY+/Tp49SKetdCN7Z64YUXzHCE7l2hkyH16oFueqWhQIcqGHIAcKMIC0hSdKlmHXI4fPiwqS5o2rSpPXJ9smXLZvZ8cMFNN90krVq1+mfTKx260KsqLg45ZMqUyYQeF+miWzqvxFX6nAdiYgVHJBlauaBn0bqcsq7ImDVrVnsEAHAjuLIA5+n8BF1QSEsMdaa/Lq1MUACA+ENYgNN0pr9eSdBKgSlTpki/fv3MJEAAQPwhLMBZq1atMusG6IJLOldBx+gBAPGPsAAn6TLMum5AqVKlTGgoXbq0PQIAiG+EBThFVyvs0qWLtG3bVrp16ybff/89s7cBIIERFuAMLYesXbu2qXrQ1Qp1w5uEnp/Qs2dP2bhxo225Zdy4cWb3ShfNnTvX/Pu6aMuWLdKyZUvbco+uDspGUoiJsAAn/Prrr2b9BN3USfd68NWbsf63dE8JF+nwjK7y6KKDBw+ahaRcFBIS4uxjVzNmzLD3gIsIC/B7Y8eONUsc64qEunVx2bJl7REAgC8QFuC3dDtlXcr4iSeeMDsw6sZJ2bNnt0cBAL5CWIBf0m2Z69atK59++qnZ4+G9996TgIAAexQA4EuEBfidNWvWmPkJO3bskOXLl5vtlwEAiYewAL+imyBVrVpVbrnlFjM/oVy5cvZI4tDH4mppZpEiRSRv3ry25Rb997/nnntsyy06VPbwww/blnvq1atn7wEXsZEU/ILOT9AdEgcPHmzWT2DYAQD8B1cWkOiOHTsm9evXl+HDh8uYMWNkyJAhBAUA8COEBSSq33//3cxP0IVsli1bJq1bt7ZHAAD+grCARKPDQpUrV5ZChQqZ+Qm6KRQAwP8QFuBzERERZhnlRx55RNq1ayfz58+XXLly2aMAAH9DWIBP6dLJDRo0kA8//NDsHPnRRx9J6tSp7VHAfTpnXDc8A5ISwgJ8Zv369VKhQgVTkbJ06VJp06aNPeK/HnzwQfn5559tyy39+/c3S2W7SB93hw4dbMst69atM/NwXHXzzTezkRSuQFiAT0ydOtXMT8ifP7+Zn6ChwQUnTpxw9izx0KFDzm6CpUNVYWFhtgVf2rdvn70HXERYQLzTsxIth9QrCbpFcqdOnaRFixby5JNPyoIFCyR37tz2OwEALiAsIM5ihgCdc6CXup9//nlp1qyZVKlSRQoXLizp0qWTHDlyyB133GH2dxgxYoR8/PHHMmzYMEmTJo390wAAriAsINYQMGDAgKuGgGeffVZGjRpl9nJIlSqVVKxY0fR98cUXpsJh48aN5jJ+xowZzc6RAAA3sdxzEqb/tDpmvX//fjlw4MBlX2P2XTo+rKEgX758Zl+BS7/G7MuaNaukSJHC/tS/y5w5s+zdu9d8dU316tXN1RP96pquXbuaPRb0q2s0sC5atMh8dY0uNKbhWL+6SF/TkZGRcXptI/kgLDjoRkLAv33wX9oX1xAQV+3btzclkoGBgbbHHaNHj5aaNWtKwYIFbY87ZsyYYTbBuvfee22PO/R1qgGzTp06tscd+trUap8mTZrYHre89dZb8vbbbxMWcBnCggO0dE83WNJZylcLAV5hIL5DAAAgeSAs+DEt2evXr5/07dvX1G1XqlQp1jBACAAAJCTCgp/atm2bPP7442aBl3fffdeUH6ZMyXxUAIDv8enjZzS7ffrpp3LnnXeaoYZff/3VVCUQFAAAiYVPID+iK+7p8sJaftilSxf55ZdfpGTJkvYoAACJg7DgJ2bPni1lypQxax0sXrzYrHPAAkaJ7+DBgxISEmJbbgkNDXV2yWRdn0OrIVx09uxZs/aIq3QSdTIZncY1ICwksqCgILNhjl5RqF+/vqnNjlnTv2PHDilbtqxtuSdnzpxy+vRp23KLLlO9atUq23JLjx49ZOTIkbbllpkzZ8rrr79uW27Zvn27WdrcVbp/CxATYSER6TBDuXLlZNq0aTJlyhRT058lSxZ79CJN+Xq24io9wwUAuIuwkAi0JFIXPalataoUKVLEDD00b97cHgUAwL8QFnxMSyKrVasmgwYNkg8++EDmzp1r1koAAMBfERZ8RIcSPvvss8tKIrXigZJIAIC/45PKBw4fPmwmMHbs2NGsmUBJJADAJYSFBKYlkaVLlzbzEnQXvYEDB15zSWT27Nnltddesy336AqUun+Fi3RPDv33c5HufFivXj3bckuDBg2crYa47bbbZPr06bblHn3PAmJiuecEotUL3bt3N0MP+qatuy7GVukAAIC/48pCAtBhBp2boOWQkydP/teSSAAAXEBYiEfh4eFXlETqoj4AALiMsBBPoksidU5CdEkkK6EBAJICwsINurQkUlcqpCQSAJDU8Il2A7QkskmTJpeVRJYqVcoejT+6LoOuN++qDRs2SEREhG25ZeHChXLkyBHbcsvWrVtlz549tuUWvVK3ZMkS23KLPl/Gjh1rW+7RfTmSybx3XAPCwnWaM2eO2SVy3bp1110SGVd//fWXsyVwqkqVKs7ubfHmm2/K5s2bbcstw4cPd7aEb/ny5fLll1/allt018b333/fttzzn//8x94DLiIsXCP90NMrCY0bN5a6deuaXSJr1KhhjwIAkPQQFq7BypUrzS6RWg6pazaMGTOGkkgAQJJHWIgDLYnURZ30cnqhQoVMSeTDDz9sjwIAkLQRFq5CJxZqSeSAAQPM0r/z5s2jJBIAkKwQFv6Fzgb+/PPPTUlkSEiIrF69Wrp27UpJJABP+h4RGBhoW0DSwN4QsdCSyPbt25sNVV5++WXp06ePpE2b1h71vXPnzsnGjRulfPnytsctGrQ0dAUEBNged5w5c8ZsgpU6dWrb446jR4+av/OsWbPaHndERkaar4Rz39P3v5w5c0qKFClsD8CVhSt89913piRy7dq1psZ+0KBBiRoUlJ6luBoUlD52F4OCypQpk5NBQeXIkcPJoKA0JBAUEkeuXLkICrgCr0YruiSyUaNGUqdOHbN+wr333muPAgCQfBEWLoguidRhikmTJpnV1yiJBADgb8k6LGhJpM5H0JLIggULmpLIli1b2qMAAEAl27CwY8cOqV69uvTv398szfrDDz/IzTffbI8CAIBoyS4saPHHF198IWXLlpXg4GAzU79bt25+PZnq9OnTzq7xr0aPHm02w3LRiBEjZNeuXbbllgULFsiqVatsyy0rVqwwzxsX/fnnn9KzZ0/bck+vXr3YSApXSFZhQYcdmjZtKh06dJDnnnvOzFUoXbq0Peq/tJSpR48etuUe3ZFT16pw0cSJE2Xv3r225RYt/f3pp59syy1btmwx1UguOnnypMydO9e23KNXW4GYkk1YCA0NNWeIa9asMW9C7777bqKXRAIA4IJkExY0GOTOndvsEklJJAAAcZeshiEyZ87s7CI1AAAklmQVFgAAwLUjLAAetJxW94ZwUfr06Z197NmzZzfbwbsoQ4YMUqFCBdtyj6t/70hYbCTlAP0nOn/+vKRJk8b2uCX6KcZ68wDgJq4sOEA/ZF0NCkofP0EBANxFWAAAAJ4ICwAAwBNhAQAAeCIsAAAAT4QFBxw5ckTeeust23JPly5d5Ny5c7blFt3XYt26dbblllGjRsmcOXNsyy2zZs1y9jm/adMmadSokW25p3bt2mwkhSsQFhxw6tQpGT9+vG255+uvvzalny5au3at+ft3kYYc3YrdRcePHze7N7pId1jds2ePbblHdysFYiIsAAAAT4QFAADgibAAAAA8ERYAAIAnwoIDdKnn22+/3bbcc9ddd0nKlG4+1XRmeM6cOW3LLfqccXVToNtuu01q1qxpW27R50vbtm1tyz0tWrSw94CL2EgKAAB44soCAADwRFgAAACeCAsAAMATYQEAAHgiLAA+ostG6zLGenN1CWlfiYyMNDcXhYeH8++LJIew4ABdZ75p06a25Z6qVatKUFCQbbmlVq1asnz5ctu6MXXq1JHs2bObmy/KAt98802zmZSLxowZI0899ZRtuWXjxo1So0YN23JPlixZ2EgKVyAsOCA0NFTWr19vW+7Rx+7qWaL+3cfXYx82bJjZpEdvn3zyie1NOHp262pIQ+I5ffq0vQdcRFgAfKRChQpSs3JJKXrXvVKxYkXbCwD+j7AA+MrZVdKrciXp+Qtn+wDcQlgAfCX8pOzeHyxuDsgASM4IC4AvhG2VDxs0k0lHj8mURkWk6pAtEmYPAYC/Iyw4IHPmzNKyZUvbck/79u0lderUtuWWLl26yC233GJbNyBNcen6/TR5JEd2aTFnlyx/4TZJYw8llLp160qlSpVsyy1aQeNqNYRu3jV48GDbcs97771n7wEXsZEU4Cun5kuroq0kYux2mVwvq+0EAP/HlQUAAOCJsAAAADwRFgBfSRkg6VKFytHDZyQswvYBgAMIC4CvpC8u9aqnl4VtCkrhTkvlWldb0D0HhgwZIp9++qkcOHDA9gJAwiMsOEDnoLo8DzUsLMzZx79z5045e/asbd2gVPml5ZR9cvrQQdk4tKpktN1xFRAQYCoEOnbsKPny5ZOiRYvKK6+8Yvau0CARk8vLPR8+fFi2b99uW27R5ZLjaz+RxLBlyxb2hsAVCAsO2LFjhxQrVsy23JMjRw45c+aMbbmlTZs28ttvv9lWfAiQTLlyy03pru+lp5v8nDx5UkqUKCG7d+82JXr169c3/Y0aNZLRo0fLoUOHzPe6vJHU999/L3379rUtt+zatUuee+4523KPPreAmCiddICeYdWrV8/ZMy1dJ2Lv3r3mq2vKli0rJ06ckPTp09se/xAREWGuesTc5CpFihT/nBXqXhT6vOnTp49pu+Trr7+WRYsWma+u+f333+WJJ54wX12kzyF9XulXIBphwQGEhcSjH7h33HGHFC5c2Pb4Bz17HTt27GXDD2nTpjVtXUTqgQceMEMQd999t3Tr1s1+hzsIC4mHsIDYEBYcQFhIPNWrV5f+/fubr/5i9uzZ8uCDD0qqVKlMQMiQIYM0btxYmjZtKjVr1jRt1bVrVxMc9KtrCAuJh7CA2DBnAXDI4sWL/wkKuiyvzqfQOQo6N0HnLEQHBQCIT4QFwBE6xKAXAnV4Qe+/8MILctttt3EGCPiRo0ePmqvY586dsz1JA2HBATlz5jSXwl31ySefSLp06WzLLSNHjjSTHP2Blk7ed999cb560KFDB3MVwkVNmjRxthri9ttvl3nz5tmWe/TqFa6fVn999913kjdvXvMaXLZsWZIoRWXOAgAA8UjX2ahWrZptiZk7pPNYWrduHT+72CYCriwAABCPKleuLLlz57atvxd3e/vtt+XWW281k6U///xzs16KSwgLAADEo5QpU5oKpdjosIQOT+TJk0ceeeQRswBZbCuw+ptkNQyhae7111+3PQAAJIxvv/02znNXMmXKJFWrVpWBAwf6zRypmJJNWNDLQDrZa//+/bYHAICEodUQISEhtnV1WtXUvHlzc2Krk2T9TbIJCy7TJ5xu7uKvifNqVqxYYVZC1Nn8rtFZzboKol4ydM26detM5YSOk7pGJyLrQl516tSxPe44ePCgzJw5U5555hnb4xZdGfTxxx+nJPcGvfrqq+ZKwdVUqVLFTH58+OGH5aabbrK9/ifZzFnQVe/at29vW27RN81mzZrZlnvq1q0rwcHBtuUWfbFv27bNttyiCzXNmTPHttyycuVKmTBhgm25RRfJGjFihG25Rz+4cON++eUXe+9Kuny8bvSm7y1aOaHB0p+Dgko2YUHPzl2bfQoAcM+RI0euWK9Cl7tv166dLFmyxOwkrMMNus28KxIsLEQGH5A/T/j/DM8LD1QO/HlCHHikcePQ7+PMcwSAwWs2bnRyo+6voVURuoX8pEmTzPCUTrLX0kntjzM/eU9PmLBwdpX0qlxJev4SZDv81VlZ1auyVOr5i/j7I40bh34fZ54jAAxes3Fy6tQpM2dl8ODBsm/fPlMa2bJlSwkMDLTfcS385z09YcJC+EnZvT9YLt9p3x+Fy8nd+yXY/x9oHDn0+zjzHAFg8JqNk/Tp05u5Qt27d4+HidH+854e/2EhbKt82KCZTDp6TKY0KiJVh2yRMHvICFoi3SoVlSJFisS4lZJW0w/78IkYJls/bCDNJh2VY1MaSZGqQ2TLZQ/UNQ79Pld7jiDZ010106RJY1tu0aof3R8gSeE1G2epU6e2927Ule/piSlhSidPzZdWRVtJxNjtMrleVttphW6XqR+NlXVnYv5n00jhZt3kqbIZbTt+aSnWxo0bpUWLFrZHnZL5rYpKq4ixsn1yPYnxSP1GaGioWSfi6rW3/vn7aNmnTuTRD4B/eD1H/EhERIQZX3SxjEx3p9THrmc6QFzpZPC0adNe+Zx35DWbtPjPe3qCTXD8V2mLSvOXe0ufPn1i3F5PsKCgSpYsGSMouENfuP64SEdc6TbKlwUFh+jjdrXePGPGjAQFXDPdITZuz/lg+X1Eb/n028/kxZaNpWnbN2TSJjdLpHF1vg8LJ+fJY/kDzJPx8ltmuX/sAcbDAMAJ52Tr5D7SsccKufWJrtIi81R58uERspViiSTJ92EhYxl55oMv5Msvv4xxGyE9qmRJhAcUmxDZNOpF6f8zs359KWTnDHnrsbpyX+1HpNfkrXLW9gPwU1GBclfPftKxYS1p3uFRKXxiixwOtceQpCTMZ3PKAEmXKlSOHj4jYRG2L1pAPqnR8klp27ZtjNvjUu9WX18yTSkB6VJJ6NHDcib6gUaekFUfPSq12g2Xhftdm8ITy+8jwbJj5gDp2LKJ/OfRrvLhj/v9Y2JSzOdI0FJ5vuIjsvD2LtL/xQqyuu098vwSwhrgN2J7X0+RWtJnTPv3B0mqgAtfoySSDQTiUWzv6YkjYcJC+uJSr3p6WdimoBTutNSPa/7TS/F61SX9wjZSsHAnWRoUImv7NJA284rIw3dnTaC/nIQU8/cRObP0ZWnQdbWUaPeGvNois0x//EEZtD7um5skmBjPkdMRgVL1jfHyVY+GUqXeE/L0XadkxcZTDEsB/sKZ9/Wk5PL39ESl1RAJ43zU6UMHo46fi7DtxHX27NmoI0eO2Nblzp8+FHXw+LmoiAv/Cw06FxUedSxqWp18UXWmHbPfkbhOnDgRNWbMGNu6uou/z/movTPfiOoxZltUiDlyNGry/Tmiqk84bFq+MmzYsKiQkL8fweWufI6c3fB51AtNbo/KXKBN1PQD4bY38bz33ntRW7dutS23zJ49O2rZsmW25ZbFixdHjRw50rbcsmPHjqjOnTvblnv0sUdGRtpWTJe+Zi+8n9ybNarapKPmSOim/lG35386avEZ00Q8in5PT0wJePIcIJly5Zab0vnH+bnuHvjss8/a1uUCMuWS3Delk5QX/pcmQzrxt3n7R48eNeuIx9XF3ydA8j/YRwa1LippL/SHbpkoIzcVkUZlM//9jT6iu69p+eeVYnmOpM4pJWvUl/LBM+SjKdsTfchEV2LTZVpdNH/+fFm9erVtuUVLhX/++WfbcsuZM2fM+v+uuhDu7b3YXPqazS4tFp2QpS2zmyNpSrwqf+z9QmokXFFbshX9np6Y3LvSjusSvGmUtGn4rmTo9bV0KanRwc9EnJXDB05KmuJNpF33wTL5k3KyaNBU2cXMagBIdISFJC9Cjix8U+rV/kDS9/5RpnQqKYmbT2MX9sdAuSt/Ixm3TyfxBMvu37aLFCokWXmGAkCi4604iQvZMFgeeux7qTp2kXz+WFG/DAoqTannZVSX0/Js8SJS6ta8Uv6zO2TYF80lN89QAEh0vBXHKps8NG+fzHsom2276pQsemeALDuwRoY0KCgZAwMlMDCn1Jt40P+qDFLmkrpD10nQwRUyY94WOXv4e+l0u79GGwBIXggLjri+TXWySL1vTkhUVISEnDsn58ztiMxtlcen//AZMmSw964uVab8UrxoHknvJ8/M4sWLm2WTXZQtWzbJlCmTbblFd+srUaKEbbklc+bMct9999mWe8qUKWPvARclzEZSfkhntB84cEDKlStnewAAQFwkm7AAAACuD8MQAADAE2EBAAB4IiwAAABPhAUAAOAp2YSFvXv3OrvW/KFDh+Sll16yLfc89dRTEhwcbFtuefrpp+W3336zLbeMGDFCpk+fbltumTZtmvTs2dO23LJx40anSycrVaqkGwzaFvC3ZBMWVqxYIYMHD7Ytt+jGNN9++61tuWfq1KkSHu7mJg9bt26Vs2fP2pZbtmzZInv27LEtt+hzXkOyi/S5fuLECdtyz8qVK+094CKGIQAAgCfCAgAA8ERYAAAAnggLAADAE2HBAenSpZPy5cvblntq1KghqVKlsi23NGnSRPLmzWtbbrnzzjulWLFituWW0qVLS/369W3LLboJVufOnW3LPVoBBMSUbPaGCA0NlbCwMGd34QMAILGwkRQAAPDEMAQAAPBEWAAAAJ4ICwAAwBNhAfCgS/cyrcf3dEKyq8ts60Tqffv22RaQNCSbsLBu3ToZP368bbnlzz//lDp16tiWe8qWLWvW+ndRzZo1ZdmyZbblFt2IaeTIkbbllokTJ0qnTp1syy2bNm2SBg0a2JZ7UqZMSUDGFZJNWNBNdVzdjOn8+fOyc+dO23LPrl27ePNJBCEhIeYsF7gWvFYRG4YhAACAJ8ICAADwRFgAAACeCAsAAMBTqrcvsPeTNK0oOHDggJOzlCMjI82tevXqtsctOtHuvvvuk4CAANvjDt0USDc1ypgxo+1xR9q0aaV48eKSL18+2+OOrFmzSqlSpSR//vy2xx0ZMmSQihUrSoECBWyPW3TjtLvvvltSpEhhewD2hgAAAFfBMAQAAPBEWAAAAJ4ICwAAwBNhAQAAeCIsOEArIVzdW0EdP37c/A4u2rBhg5w+fdq23HLo0CE5ceKEbblFN2Jav369bbnl5MmTMm/ePNtyz+rVq1nyGVdINmFh0aJF0rt3b9tyi+4LUa5cOdtyT+HChSUoKMi23PLss8/K77//bltu6d+/v4wZM8a23DJ//nwZPHiwbblFy7R79OhhW+6pUKGCvQdclGzCwpEjR8xZIgAAuDYMQwAAAE+EBQAA4ImwAAAAPBEWAACAp2SzN8TPP/9sbt26dbM97tCyySVLlkjDhg1tj1tmzZol9evXl9SpU9sed2glSu7cuc3mQK7Zvn27BAYGOrkZk1bPhIaGSvbs2W2POyIiIiQ4OFgyZcpke9yyZs0aufPOO9lICpdhIykAAOCJYQgAAOCJsAAAADwRFgAAgCfCAgAA8ERYcIDOrF6+fLltueeHH36Q8PBw23LLlClTzKZGLlq1apVs2rTJttyi+3HMnDnTttyyf/9+Z/e1UCNGjGAjKVwh2YSF6dOnS+vWrW3LLfrm06ZNG9tyT/PmzU3gcdFHH31kyiddNG7cOBPUXKTlezNmzLAtt+g+NK5u4KU6depk7wEXJZuwoLXPISEhtgUAAOKKYQgAAOCJsAAAADwRFgAAgCfCAuAhbdq0kjIlLxNf0z0tsmTJYltuSZMmjRQqVMi23BMQEGDvARclm70htm7dam6NGjWyPe44f/68HDx4UAoUKGB73KKlh3nz5uVD18f0eaObAfHmD+BGsZEUAADwxKkeAADwRFgAAACeCAsAAMATYQEAAHhKNmHh9OnTsmfPHttyy/Hjx2XkyJG25Z4BAwZIaGiobbmlT58+snnzZttyy9SpU2XRokW25Zb//e9/MnToUNtyy/bt2+Wpp56yLfc8+eSTbCSFKySbsDBv3jzp3r27bblFw4LLu9i5HBbmz59vNgZy0dKlS83ujS7SYL927VrbcsvZs2fl119/tS33jB492t4DLmIYAgAAeCIsAAAAT4QFAADgibAAAAA8ERYcoHsqZMuWzbbckydPHrNHgYvuvPNOZzc0ypcvn2TPnt223HLzzTebv3sXZc2aVRo2bGhb7qlSpYq9B1yUbMLC/v375dy5c7blFt2IKXXq1BIWFmZ73HHixAmzedexY8dsj1s0KAQFBdmWWzJnzmx2zXRRcHCws+V7umHdsmXLbMstu3btuuwrEC3ZhIWTJ0/Kzp07bcst+oH7008/OfnmqR+0Q4YMMbtmukjXt1i3bp1tuWXatGmyYMEC23KLln1OnDjRttxy9OhR83p1kZ5Q6WN39cQKCYdhCAAA4ImwAAAAPBEWAACAJ8ICAADwRFgAAACeCAsAAMATYQEAAHhKEZVMNi7v3bu32Sr5/Pnztscd+k+kN10F0bWVEF1+7CoyMtLpx650BVDXuPzYo5/zLj/2hHzO6/bjuroo3JKswsKoUaPk3XfftT3uWL16tQwePFjGjBljVnJ0ia7c2LlzZ+nTp48UK1bM9rqjXbt20rJlS6ldu7btcUffvn0ld+7c0r59e9vjjnHjxsmmTZukX79+tscdy5cvl+HDh8uECRNsjzv27t0rL7/8snmfLFCggO2NX02aNJHAwEDbgiuSVVj45ptv5I8//rA97pg1a5Z5gYWEhDi3fK+eRRQsWFBWrFgh99xzj+11h+6toB9YHTt2tD3uqFWrltx6663y6aef2h536AfW4sWLZeXKlbbHHbryZOvWrSU8PNz2uEPfH0uVKiUbNmwwX4FozFkAAACeCAsAAMATYQEAAHgiLAAAAE+EBQAA4ImwAAAAPBEW/nFGVn38igxdc9a2/YeWS2q9fNISKWd3fCcf9uwo7Tq+LO9P3yCn/l6HB3BaunTpnH29pkqVyjz2gIAA2wP8LYHWWYiQA3P7ybtr75U3etwr2fwgkpw6dUqCg4Mlb968tudSZ2XTqCfl/nazpPS0AzL/oWy239/pB+48+eqrObL2QKRkL1VX2rR/UEpm8p8MqLXmBw4ckFy5cl22RkTIHx9I3UqvycHaz8kjt5+SBZ9MkBNP/iA/vVddsvpRhN23b59kyZJFMmbMaHvccfjwYfOmny2bK8/ni06ePCmhoaFJMCQDbkqgt+UIObNzucz/+U856ydLPukbfmxBIeLIchn6eEW5+7kfJcSxCy3B6wZJ7TuayscbAyT/zYGyY9SjUq7a67LijP0GP6AfVroS3OWLSQXJ6mFDZFXJ9+W/kz+Q3v1Gybdf1JZ9owbLstP2W/xE/vz5nQwKSgOai0FBZc2alaAA+JFks4Ljvwla0UseHZpG2r9RRWbWaSp/DvvLkSsLF87GHysqTQ99IJvntZb8qUQiD0yUhrc9K+km7JYZjbLa7/NX4XI2KFIyZExj7u8cUUNK9y0lc7d+LjXc/GwGkoEICTl7XlJnSCcX3nKQjCTQqXSYbHqvvOSu/qnsjrBd0YKWSLdKRaVIkSIxbqWk1fTD4uth64yV+8msb96SxoXTiltbBQVKmRcmyLcfNJQ89lWbMm0GCUwZLufOuzD4H2CCwqkVg+Tp+uXk7peOS+vhb0sVggLgX0I3yqAqxaXhq89KtZwBEpgxUNLcXEf6LDvu8/drJJ4ECgtREhF0XA4fOyeRMa9bpM4n1Zo/ZtZOv/zWSmrfmp4Zl3GWRnKXry0P3JHNJvwz8svQN2ROyrrSrnIW0+P/IiQ8ZV4pc28jqV9sv4x/Z6gsPc7bD+BXoiIk+Og2+X7MSWm74LiEnl4rQ277Sfq+OFn2xDwZRJKVQMMQobLhrdulzJQusmNdN7nFhYm1QUukffEGstuZYYhLRJ6SVYObSZ1ef8kj05fIsEZ5nLtEGHlkpjxcvIXse3e7rGhf0PYCSHQh6+StO8rLpEd/lXVvl5G0Eil7PqsoxQbWkuV/DJS709nvQ5Lm+xP5k/PksfwBZq/0y2+Z5f6xB7isda3C/pLpXapLjTePSpvpi+VjF4JC5HFZ0reddP5yy4VY+beUGfLLrTeJnD4ebHsA+I+UkilPZok+70ud9sK9qEj9P5IJ34eFjGXkmQ++kC+//DLGbYT0qJKFYYhrEbpDvn68irScWkgGLlssHzTK+8+L2a+lTCeBpxbKyNfekdl7wi50hMj26YNlzJ4i0qQWVxUA/+TWrC7EL99/Ngfkkxotn5S2bdvGuD0u9W5Nb78JVxci6we3lA6z8skrX/WTOun3y5ZNm2TTpi3y1yl/H0hML3e/PkkGVVwirQrnlDw5s0mx9mvk/uHTpdfdPAcAwN9wIh8tYw35fH+QO/MVzv4qI4f/KudDV0nfBmWlZMmS9lZCmk05aL/Jf6XMUkFemrVbTu75Reb9uE4On9ws4zuUkgz2OADAfyT7dRYAAIA3riwAAABPhAUAAOCJsAAAADwRFgAAgCfCAgAA8ERYAAAAnggLAADAE2EBAAB4IiwAAAAPIv8H38hS2wC3iXwAAAAASUVORK5CYII=)
将以上各式在各个时间步内进行逐步计算,即可得到整个时程分析中各个时间点上的解答!初始时刻 t1 = 0 时,取可初始位移和初始速度皆为零。这样,得到第一个时间步结束时刻的解答后,将其作为第二个时间步的初始条件继续进行求。以此类推,即可得到全部时间点上的解答。
对于每个具有特定周期和阻尼的单自由度体系,根据上述动力时程分析的解答即可确定反应谱曲线中的一个谱值。具体如下:
-
谱位移 SD:相对位移的最大值
-
谱速度 SV:相对速度的最大值
-
谱加速度 SA:绝对加速度的最大值
-
伪谱速度 PSV:谱位移与圆频率 ω 的乘积
-
伪谱加速度 PSA:谱位移与圆频率平方 ω2的乘积