摘要
基于线性系统的叠加原理和坐标变换，建立了求解运动荷载作用下板的动力响应的广义Ｄｕｈａｍｅｌ积分公式，把运动荷载问题转化为获取位移脉冲响应函数。在柱面坐标系中利用Ｌａｐｌａｃｅ和Ｈａｎｋｅｌ变换求解板在瞬时点源荷载作用下的解，结合广义Ｄｕｈａｍｅｌ积分得到了稳态响应的精确解，并验证了动态响应退化为静力解时的正确性。最后用三维Ｆｏｕｒｉｅｒ变换直接求解板的振动方程。
Based on transform of coordinate and principle of superposition, a generalized Duhamel′s integral formula dealing with moving load problem is established. An impulse response function used in the generalized Duhamel′s integral is obtained by means of Laplace and Hankel transform. The analytic solution of the moving load problem of plate is evaluated by converting variables. The steady response with v=0 (v represents velocity of the moving load) is simplified to static solution. In particular, equation of plate is solved directly by three-dimension Fourier transform. The solution indicates that the above deduction is correct.
出处
《岩土工程学报》
EI
CAS
CSCD
北大核心
1997年第2期14-22,共9页
Chinese Journal of Geotechnical Engineering
基金
国家自然科学基金
高校博士点专项科研基金
关键词
运动荷载
地基
粘弹性
稳态响应
moving load, generalized Duhamel′s integral, integral transform, plate.
