圆形或扇形薄板的横向振动问题(一)圆心处的边界条件  

Transverse vibration of thin plate with circular or sector shape (Ⅰ) Boundary conditions at circle center

作　　者：吴崇试[1] WU Chong-shi(School of Physics,Peking University,Beijing 100871,China)

机构地区：[1]北京大学物理学院,北京100871

出　　处：《大学物理》2022年第6期7-10,68,共5页College Physics

摘　　要：从数理方程的角度探讨了圆形薄板的横振动问题,分析了现有文献中有关圆心处边界条件的谬误,提出了边界条件的正确形式.变分计算支持新边界条件的合理性.The transverse vibration of circular plate is discussed from the point of view of equations of mathematical physics.The mistakes of the boundary conditions at the center of circle appeared in the existing literature are analyzed carefully.New boundary conditions are proposed and their reasonability is discussed from the calculus of variations.

关 键 词：圆形薄板 横振动 边界条件 固有振动频率. 

分 类 号：O411.1[理学—理论物理]