摘要
结构动力分析是工程设计中的重要内容,寻找高效、准确的计算方法是正确、经济地进行结构工程设计的重要保证。利用一种求解弹性动力学初边值问题的新方法——卷积型加权残值法,推导出Gurtin变分原理,并应用卷积型加权残值法计算了两种边界条件薄板的动力学问题,算例表明,方法计算精度高,计算工作量少,是计算结构动力学问题的一种有效的方法。
Structural dynamic analysis is important for structural design. A simple and accurate method can ensure structural design to be accomplished efficiently. The convolution-type weighted residual method is a new method, which is applied to dynamic problems. In this paper Gurtin variational principles are derived by convolution-type WRM. And the convolution-type weighted residual method is applied to dynamic problems of thin plates with different boundary condition and load. Numerical examples show that convolution-type WRM is very simple, highly accurate and effective.
出处
《工程力学》
EI
CSCD
北大核心
2006年第1期43-46,共4页
Engineering Mechanics
关键词
结构动力学
加权残值法
卷积
薄板
变分原理
structural dynamics
method of weighted residuals
convolution
thin plate
variational principle
