摘要
以Lee的有限变形弹塑性连续体的最小加速度原理为基础,结合有限差分法建立了两端铰支轴向不可移的四棱锥夹芯梁受到横向均布冲击载荷时的动力学控制方程,并且考虑了横向剪切效应.通过对简支梁进行弹塑性动力响应数值计算和分析,证明了四棱锥夹芯梁的抗冲击性能明显优于相同质量的实心梁,芯层杆元与面板的夹角对夹芯梁的抗冲击能力有显著影响,所得结果对点阵材料夹芯梁的设计和优化有参考价值.
Based on the minimum principle of acceleration for finite deformation elastic-plastic continuum and with the aid of finite difference method, the dynamic governing equations for the simply supported pyramidal truss core sandwich beams with axial constraints subjected to uniformly distributed impulsive loadings are derived. The effects of shear deformations are reflected in these equations. Through the elasticplastic numerical calculations and analysis for the simply supported beams, it is found that sandwich beams with pyramidal truss cores have a superior shock resistance in comparison with the monolithic beams of the same mass, and the shock resistance of the sandwich beams is sensitive to the inclination angle of the sandwich core members. The results are useful for the optimal design of sandwich beams with lattice truss cores.
出处
《固体力学学报》
CAS
CSCD
北大核心
2009年第4期389-394,共6页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金(10602005)资助
关键词
点阵材料
最小加速度原理
有限差分
弹塑性
动力响应
lattice material, minimum principle of acceleration, finite difference, elastic plastic, dynamic response
