带有分支梁的导弹模态剪力和模态弯矩计算方法

模态剪力和模态弯矩是导弹横向动态载荷计算及识别的重要基础,完善了带有分支梁的导弹模态剪力和模态弯矩计算方法。首先从剪力和弯矩的基本定义出发,推导了梁-质量块有限元模型主梁和分支梁模态剪力和模态弯矩计算方法,然后采用模态叠加方法计算横向静力作用下导弹的飞行载荷,并与静力学计算结果进行对比。结果表明,采用模态剪力叠加和模态弯矩叠加计算结果随着模态数量的增加逐渐逼近静力学计算结果,当考虑所有的模态时,计算结果与静力学计算结果完全相同,验证了模态剪力和模态弯矩计算方法的正确性。

A Method of Obtaining Modal Shear Forces and Modal Bending Moments of the Missile with Branch Beam

Modal shear force and modal bending moment are the foundation of the calculation and identification of transverse dynamic load, the method of obtaining modal shear forces and modal bending moments of the missile with branch beam was improved. First, the modal shear forces and modal bending moments of the major beam and branch beam in the Beam-Mass finite element model were deduced from the definition of shear force and bending moment. Then, the flight loads of a missile under transverse static loads were calculated by mode superposition method, the results were compared to those of statics. It's showed that the results of mode superposition method gradually approach those of statics with the numbers of modes, they are the same when all the modes are included, so the method of obtaining modal shear forces and modal bending moments is verified.