横观各向同性饱和多孔半平面与梁的动力相互作用  

Harmonic Vibrations of Beams on Transversely Isotropic Saturated Poro-semiplane

作　　者：何芳社[1] 黄义[1] 

机构地区：[1]西安建筑科技大学理学院,西安710055

出　　处：《力学季刊》2008年第2期336-342,共7页Chinese Quarterly of Mechanics

摘　　要：以Biot理论为基础,通过引入一个函数Φ,将横观各向同性饱和多孔半平面的基本方程组简化为一个6阶控制方程。利用Fourier变换,分析了横观各向同性饱和多孔半平面体的动力响应。利用Fourier变换或正弦级数,研究了该介质上梁的简谐振动问题,将原先极为复杂的问题转化为数值积分问题。文末还对横观各向同性饱和多孔半平面与梁的相互作用问题进行了数值计算。Based on Boit theory and by introducing the function φ into the basic equations of transversely isotropic saturated poro-semiplane, the basic equations were simplified to a 6-order governing equation. With the aid of Fourier transforms, the dynamic responses of the saturaed poro-semiplane were analyzed. By use of Fourier transforms or sine series, the harmonic vibrations of the beams on the transversely isotropic saturated poro-semiplane were investigated. The formerly complicated problems were transferred to the simple problems of numerical calculus. The interaction of the beam-semiplane was computed numerically.

关 键 词：横观各向同性 饱和多孔半平面 梁 FOURIER变换 正弦级数 简谐振动 

分 类 号：TB12[理学—工程力学]