On general in-plane vibrations of rotating thick and thin rings

摘要: Complete sets of equations motion for general in-plane vibrations rotating thick and thin rings on elastic foundations are derived. The ring theory takes account the effects extensibility, transverse shear, rotatory inertia rotation, as well initial stresses due to pressure loads centrifugal force. consistency formulation is demonstrated by reducing it classical theories based inextensional or negligible shear deformation assumptions. Predictions frequencies bending extensional type close experimental data non-rotating [1,2]. It argued that assumptions in improper because coupling important shearing effects, espically ring. correct quadratic displacement terms strain-displacement relations, necessary complete description stress also discussed.