摘要
以Pasternak双参数地基上的板为研究对象,用有限条法和最小势能原理建立了地基与板相互作用的控制方程,分析求解地基板在不同约束和荷载条件下的内力和位移,并将这一方法应用到双参数地基板的动力分析中.计算结果表明,随地基基床系数和剪切模量增加,自振频率增大.数值算例表明,该方法是求解弹性地基板的一个有效的方法.
The plates on Pasternak＇ s two-parameter elastic foundation were discussed. With finite strip method and Lagrangian equation, a set of governing differential equations was established to solve the displacements and internal forces of plates on Pasternak＇ s elastic foundation under different loads and with different boundary conditions. This method was also applied in the dynamical analysis of plates on two-parameter elastic foundation. Results indicated that with the increase of k and Gp, the natural frequency of plates on elastic foundation increased. A numerical example was given, which has showed that the method is correct and feasible.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2008年第4期7-10,共4页
Journal of Hunan University:Natural Sciences
基金
985工程土与结构动力相互作用及可靠减灾新技术资助项目(531105020004)
关键词
矩形薄板
Pasternak双参数地基
动静响应
有限条法
dynamic and static analysis
Pasternak＇s elastic foundation
rectangular plates
finite stripe method
