摘要
讨论了正交异性非线性变厚度混凝土环形板问题。建立了荷载为 q(r)及q(r) ·sinnθ条件下的环形板平衡条件式 ,导出了挠度表达的Euler方程。据此获得一组常系数微分方程和它们的特征值 ,可以求解正交异性非线性变厚度环形板的挠度及内力。
The problems of annular concrete plates of orthogonal anisotropy and nonlinear v ariable thickness are disscussed. The equilibrium equations of the annular pla te under coudition of q(r) and q(r) sinnθ loads are established, and an Euler e quation expressed by deflection is developed. Based on the equation, a differen tial equation of constant coefficients and its proper equation are obtained. T he equations may be used to solve out the deflection and internal forces of many annular plate of orthogonal anisotropy and nonlinear variable thickness.
出处
《应用力学学报》
CAS
CSCD
北大核心
2001年第3期142-145,共4页
Chinese Journal of Applied Mechanics
关键词
正交异性
非线性变厚度
特征方程
齐次解
环形板
orthogonal anisotropy, nonlinear vaviable thickness, proper equation, homogeneous solution.
