挠性板弯折的数值分析方法  

Numerical Analysis Method of Flexible Plate Bending

作　　者：胡亮 李欢 任桃桃 白俊磊 王一波 HU Liang;LI Huan;REN Taotao;BAI Junlei;WANG Yibo(Shanghai Aerospace Control Technology Institute,Shanghai 201109)

机构地区：[1]上海航天控制技术研究所,上海201109

出　　处：《宇航材料工艺》2022年第3期24-29,共6页Aerospace Materials & Technology

摘　　要：基于材料力学中梁弯曲的挠曲线方程,利用数值积分方法计算特定弯矩和剪力时挠性板的弯折曲线,同时利用曲线积分计算挠性板的长度,最终确定在给定长度和跨度情况下挠性板的弯折曲线以及对应的弯矩和剪力。利用有限元软件对相同模型在同一条件下进行模拟分析。将数值计算与有限元分析结果对比,发现两者变形曲线非常吻合,弯矩和剪力数值精度满足实际工程需求。基于上述数值计算方法,可以对挠性板弯折的各种参数进行分析和预估,对实际工程应用具有重要的指导意义。The bending curve of flexible plate was calculated by numerical integral method at the specified bending moment and shearing force,based on the deflection equations of beams according to the mechanics of materials.The length of plate was also derived by line integrals in the meantime.Then the bending curve,moment and shearing force can be finally determined relative to the given length and span.The finite element software was employed to simulate the same model under the same conditions.Compared to the results of finite element method,it is found that the bending curves by numerical calculation were almost identical,in addition,the precision of the moments and forces can meet the practical demand in engineering.All the parameters of bending plate can be used for further analyzing and estimating based on the above numerical calculation method,which is valuable for guidance in the practical engineering applications.

关 键 词：挠性板 弯折 数值积分 有限元 

分 类 号：O341[理学—固体力学]