【摘 要】
：
为研究任意边界条件连续梁的动力响应问题,建立了两端任意约束中间弹性支撑梁的力学模型,给出了求解其振动频率的方法,并采用振型叠加法推导了其在移动荷载作用下的动力响应的理论解.通过编写相应的MATLAB计算程序进行求解,结合算例用所提出的理论方法得到的结果与有限元方法进行对比,验证了方法的正确性与精度以及适用范围.分析了边界条件对结构振动响应的影响,结果表明:两端任意约束中间弹性支撑连续梁的高阶模态与两端简支或固定支撑的连续梁明显不同,由于边界条件为弹性,其高阶模态曲线边界处的幅值反而更大;在移动荷载作用下,
【机 构】
：
浙江大学 建筑工程学院,杭州310058;浙江大学 建筑工程学院悬浮隧道研究中心,杭州310058
论文部分内容阅读
为研究任意边界条件连续梁的动力响应问题,建立了两端任意约束中间弹性支撑梁的力学模型,给出了求解其振动频率的方法,并采用振型叠加法推导了其在移动荷载作用下的动力响应的理论解.通过编写相应的MATLAB计算程序进行求解,结合算例用所提出的理论方法得到的结果与有限元方法进行对比,验证了方法的正确性与精度以及适用范围.分析了边界条件对结构振动响应的影响,结果表明:两端任意约束中间弹性支撑连续梁的高阶模态与两端简支或固定支撑的连续梁明显不同,由于边界条件为弹性,其高阶模态曲线边界处的幅值反而更大;在移动荷载作用下,梁体向下动位移的最大值出现在跨中,而向上动位移的最大值出现在梁端,同时梁体在各个截面处均交替出现了正弯矩和负弯矩,跨中位置处的正弯矩和端点处的负弯矩最为显著;当荷载的移动速度增大时,跨中位移的波动周期也越长;对比不同的边界条件,两端弹性支撑的跨中挠度变化幅值介于两端固支和两端简支之间,两端线弹簧刚度主要影响结构的振动幅度,而转动弹簧刚度则对结构的最大振动位移影响更为明显.
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