CAJ | 학술논문

精确计算电磁炮发射轨道的受力变形,将发射轨道模拟为移动载荷作用下弹性基础上的简支梁,并应用欧拉梁理论建立了力学模型,利用伽辽金法和 Sturn-Liouville 展开,推导出了电磁炮发射轨道受正弦函数磁压力下控制方程的解析解.与通常用拉格朗日方程法计算轨道受力变形的方法相比,利用伽辽金法求解不需要计算梁的动能、应变能和耗散能.用 Matlab 软件做算例分析得到:梁的变形受阻尼系数、移动载荷的出口速度、弹性系数等因素影响显著,受轨道质量的影响很小.
정학계산전자포발사궤도적수력변형,장발사궤도모의위이동재하작용하탄성기출상적간지량,병응용구랍량이론건립료역학모형,이용가료금법화 Sturn-Liouville 전개,추도출료전자포발사궤도수정현함수자압력하공제방정적해석해.여통상용랍격랑일방정법계산궤도수력변형적방법상비,이용가료금법구해불수요계산량적동능、응변능화모산능.용 Matlab 연건주산례분석득도:량적변형수조니계수、이동재하적출구속도、탄성계수등인소영향현저,수궤도질량적영향흔소.
@@@@In order to accurately calculate the deformation and analyze the dynamic response, the launcher’s rail is modeled as a simple beam on elastic foundation in this study. Therefore, Euler beam theory is applied to build a mechanical model. The analytical solution of control equation subjected to sine function magnetic pressure is obtained through Galerkin method and Sturn-Liouville expansion. This avoids calculating the strain energy, the kinetic energy and the dissipation energy which is necessary in the past. The rail dynamic response has been modeled using MATLAB software. The results demonstrate that the elastic coefficient, the load’s velocity and the damping coefficient have some obvious effects on the beam while the mass of rail does not have obvious effect on the deformation beam.