Vibrations of Elliptic Arc Bar Perpendicular to its Plane

作者: Shin TAKAHASHI , Katsuyoshi SUZUKI

DOI: 10.1299/JSME1958.20.1409

关键词: Equations of motionPlane (geometry)CatenaryBar (music)PhysicsPerpendicularBoundary value problemArc (geometry)Arc lengthClassical mechanicsMathematical 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

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