摘要
用拟板法将网架简化为平板,建立了表层应变与中面位移的非线性关系,根据板的非线性弯曲基本方程,建立了在直角坐标系下三向网架的基本方程,又将此方程转化到极坐标系下的轴对称问题,用修正迭代法研究了在固定边界条件下圆形三向网架的非线性弯曲问题,给出了精确度较高的二次近似解析解.
A quasiplate approach is used to simplify threedimensional netted frame into a flat plate. First, the nonlinear relationships between the strain of surface layer and the displacement of neutral plane are established and, according to the nonlinear bending basic equations, basic equations of threedimensional frame in orthogonal coordinates system are obtained, too. Then the equations are translated into the axial symmetry problems in polar coordinates system. Finally, a modified iteration method is employed to study the nonlinear bending problems of the circular threedimensional frame under fixed edge boundary conditions, presenting an approximate quadratic solution with higher accuracy.
出处
《甘肃工业大学学报》
CAS
北大核心
2003年第3期143-145,共3页
Journal of Gansu University of Technology
基金
甘肃省自然科学基金(ZS021 A25 007 Z)
