简支梁弹塑性碰撞响应动态子结构方法  

Dynamic Substructure Technique for Elastic-plastic Impact Responses of Simply Supported Beam

作　　者：骞朋波[1] 尹晓春[1] 沈煜年[1] 杨钧[1] 孔德平[1] 

机构地区：[1]南京理工大学理学院,江苏南京210094

出　　处：《南京理工大学学报》2012年第1期176-181,共6页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(10872095);总装预研重点项目;江苏省自然科学基金(BK2008408)

摘　　要：针对简支梁结构弹塑性碰撞响应问题,建立了碰撞子结构模型。基于弹塑性有限元理论和模态综合方法推导出了该碰撞子结构模型在模态坐标下的动力学控制方程,将动态子结构方法推广应用于柔性梁结构的弹塑性碰撞响应研究。采用接触模型考虑碰撞位置局部变形,数值计算表明,该方法可以计算复杂变化的弹塑性碰撞接触力响应,梁上二维动态弹塑性应力场,动态位移场,角位移场和横向振动速度场等动力学变量,还可以描述碰撞激发弹塑性波的传播和塑性铰形成过程这类复杂的瞬态动力学现象。通过对比计算得到的碰撞接触力响应,弹塑性波传播特征和塑性铰形成过程与有限元计算结果和塑性动力学理论,证明了该动态子结构方法研究柔性梁结构弹塑性碰撞动力响应问题的有效性和合理性。For the elastic-plastic impact response of a simply supported beam, an impact substructure model is built and its governing equations in modal coordinates are derived from the finite element theory and modal synthesis method. A dynamic substructure technique is presented and applied to solve the elastic-plastic impact response. By considering the local elastic-plastic contact deformation, some dynamical variables, such as the complicated history of contact force, the elastic-plastic stress distribution, the displacement field, the angular displacement field and the transverse velocity field of the beam are calculated. The transient dynamics phenomena are also displayed, including thetechnique here is effective and valid for elastic-plastic impact responses of flexible beams.

关 键 词：动态子结构 梁 碰撞 弹塑性动力学 

分 类 号：O313.4[理学—一般力学与力学基础] O313.7[理学—力学]