摘要
本文用样条方法分析了静水压下用纵筋和环肋加强的圆锥壳体的振动特性。利用D’Alembert原理建立结构系统的能量变分泛函,由Hamilton变分原理导出运动系统的频率方程。文中导出了样条函数步长矩阵。探讨了水压对加筋圆锥壳振动特性的影响以及不同加筋对振动特性的影响,得到了几点结论。
The spline element method is used to analyze the vibration characteristics of conical shells with longitudinal and ring stiffeners under hydrostatic pressure. The shell is disereted into belt elements along the longitudinal direction. The cubic B-spline is used to form mode functions. Trigonometric series expansion is carried out along the circumferential direction of the shell. The energy variation functional of the structural system is carried out by D'Alembert principle. A frequency equation for the motion system is obtained by Hamilton variation principle. The step matrix of spline function is derived. The effects of the variation of hydrostatic pressure and different stiffeners on the vibration characteristics are discussed. Numerical results obtained are compared with experimental ones given by other investigators. It is shown that the method proposed is fairly accurate.
出处
《华中理工大学学报》
CSCD
北大核心
1991年第3期77-82,共6页
Journal of Huazhong University of Science and Technology
关键词
船舶结构力学
圆锥壳
结构振动
Ship structural mechanics
Conical shell
Structural vibration
Natural fundamental frequency
Spline method
Step matrix
