六种边界等直梁模态特性和振动响应的解析分析  

Analytical Analyses of Mode Characteristics and Vibration Responses for Uniform-section Straight Beam with Six Boundary Conditions

作　　者：马斌捷[1] 周书涛 洪良友[1] 梁吉鹏[1] 王丽霞[1] Ma Bin-jie;Zhou Shu-tao;Hong Liang-you;Liang Ji-peng;Wang Li-xia(Bejing Institute of Structure&Environment Engineering,Beijing,100076,China)

机构地区：[1]北京强度环境研究所,北京100076

出　　处：《导弹与航天运载技术（中英文）》2022年第6期68-73,共6页Missiles and Space Vehicles

摘　　要：为了获取六种边界等直梁振动响应的解析解,采用特征变换方法,得到了广义质量的解析解,并由此获得了不同边界和载荷作用下位移、速度、加速度和截面弯矩的动态响应放大系数的解析解和曲线,指出了速度与截面弯矩动态响应放大系数的相似特征和载荷响应分析的阶次要求。进一步推导出了有效质量的解析表达式,为基础激励方式的适用性分析提供了理论依据。For obtaining the vibration response analytical solutions of uniform-section straight beam with six boundary conditions,this paper adopts the characteristic transformation method,obtains the analytical solutions of generalized masses,gets the analytical solutions and the dynamic response amplification coefficient curves of displacement,velocity,acceleration,section bending moment on the effects of different boundary conditions and loads,and gives the similar feature of dynamic response amplification coefficients for speed and section bending moment and the order demand of load response analysis.Further,deduces the analytical formulas of effective masses,which provide the theoretical basis for applicability analysis of foundation incentive.

关 键 词：振型 特征变换方法 广义质量 振动响应 有效质量 

分 类 号：V214.3[航空宇航科学与技术—航空宇航推进理论与工程]