作者: Shin TAKAHASHI , Katsuyoshi SUZUKI
关键词: Equations of motion 、 Plane (geometry) 、 Catenary 、 Bar (music) 、 Physics 、 Perpendicular 、 Boundary value problem 、 Arc (geometry) 、 Arc length 、 Classical mechanics 、 Mathematical analysis
摘要: We have researched the vibrations of elliptic arc bar perpendicular to its plane. obtain Lagrangian curved bars expressed by length, and then using a new variable we reconstruct Lagrangian, from which equations motion boundary conditions. solve in case show graphs frequencies modes symmetric bars. Their conditions are built-in, rolled supported at both ends. This method is also useful research other as cosine, catenary parabolic