圆形或扇形薄板的横向振动问题(二)扇形薄板情形下偏微分方程的分离变量  

Transverse vibration of thin plate with circular or sector shape(Ⅱ)Separation of variables of partial differential equation in the problem of transverse vibration of sector plate

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7期1-3,27,共4页College Physics

摘　　要：从数理方程的角度探讨了扇形薄板的横振动问题,针对本征值问题中出现的4阶偏微分方程,给出了分离变量的方法.在给定的边界条件下,给出了扇形薄板横振动的固有振动频率和相应的振动模式.The transverse vibration of sector plate is discussed from the point of view of equations of mathematical physics.The separation of variables applied to the partial differential equation in the eigenvalue problems is sketched.As an example,the eigenfrequencies and corresponding proper vibration modes are given when the boundary of sector plate is fixed.

关 键 词：扇形薄板 横振动 分离变量 边界条件 固有振动频率. 

分 类 号：O411.1[理学—理论物理]