【摘要】 L形板在工程中比较常见,但是尚没有对邻边简支其余自由的L形板理论分析。为了给工程应用提供支持,有必要开展此类的L形板的理论分析。根据弹性薄板理论,将邻边简支其余自由的L形板分离成3块矩形板,再应用叠加原理求解单块板,根据各板边界条件和公共边协调条件建立联立方程组,解方程获得L形板的精确解。经过与ANSYS有限元计算结果对比可知,结果正确,方法可靠。更多还原

【Abstract】 L-shaped plates are rather common in civil engineerings,but the theoretic analysis of the L-shaped plates with simply supporting and other free of two adjacent edges is not yet developed and it is necessary to develop the analysis for this plate in order to support the application in civil engineerings.Based on the elastic theory of thin plates,the L-shaped plate with the simply supporting and other free of two adjacent edges is divided into three rectangular plates,then,applied with the principle of superposition,the solution of every single plate is figured out.At the same time,according to the boundary conditions of every plate and the geometry accommodating conditions on public edges,the simultaneous equations are established and solved to obtain its accurate solution.Compared with the results from the ANSYS finite element calculation,the theoretic solution of the L-shaped plate is correct,so this method is reliable.更多还原