摘要
本文探讨粘弹性大挠度圆板的轴对称弯曲的基本方程和求解方法.用半逆解和摄动法分析挠度与膜力,对标准线性固体进行数例计算,并与小挠度理论相比较.全部方程与解答可退化得相应的弹性大挠度板的结果.
Fundamental equation and solving method for the axisymmetric bending of linear viscoelastic circular plate with large deflection are presented in this paper. The govening equations for a plate in Laplace transform space are discussed, and the characteristics and difficulties about solving method are investigated. When Poisson's ratio is constant, both deflection and membrane force can be obtained by combining semi-inverse method with perturbation technique. The equations and results of viscoelastic plate with large deflection can be reduced to those of elastic. Numerical solution for standard linear solid is carried out and compared with that of small deflection theory. The technique presented can be used for thin viscoelastic plates in engineering.
出处
《固体力学学报》
CAS
CSCD
北大核心
1990年第4期313-320,共8页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金
关键词
粘弹性
大挠度
圆板
轴对称
弯曲
Viscoelasticity
Circular plate
Large deflection
