火炮身管固有振动特性的有限元传递矩阵法

Finite Element Transfer Matrix Method of Gun Tube Natural Vibration Characteristic

利用二节点Hemite梁单元对火炮身管进行单元离散,利用传递矩阵进行离散单元之间状态矢量的传递,推导出火炮身管总传递矩阵及振动频率方程.对某火炮身管固有振动特性进行了分析,计算得到了振动频率和振型.用有限元传递矩阵法分析火炮身管固有振动特性,矩阵阶次低,计算所得的固有频率与实际固有频率接近,误差在允许的范围内.

Gun tube was partitioned by using two-node Hemite beam element, and state vector among elements was transferred by transfer matrix. Total transfer matrix and vibration frequency equation of gun tube were deduced. Natural vibration characteristic of gun tube was analyzed triumphantly. Vibration frequency and mode shape were obtained. Matrix step is low by using the finite element transfer matrix method. Natural frequency by calculation approaches to actual natural frequency and the error is allowable.