Based on Timoshenko-Mindlin kinematic hypotheses and Hamilton's principle,a dynamic non-linear theory for general laminated circular cylindrical shells with transverse shear deformation is developed.A multi-mode s...Based on Timoshenko-Mindlin kinematic hypotheses and Hamilton's principle,a dynamic non-linear theory for general laminated circular cylindrical shells with transverse shear deformation is developed.A multi-mode solution for periodic in- plane loads is formulated for the non-linear dynamic stability of an anti-symmetric angle-ply cylinder with its ends elastically restrained against rotation.The resulted equations in terms of time function are solved by the incremental harmonic balance method.展开更多
The fourth-order Zakharov integral equation for surface gravity waves derived by Stiasshie and Shemer is modified to include the effect of shear flow. Using this new equation the class instability of a Stokes wave tra...The fourth-order Zakharov integral equation for surface gravity waves derived by Stiasshie and Shemer is modified to include the effect of shear flow. Using this new equation the class instability of a Stokes wave train in shear flow is studied. The effect of the vorticity on the instability is discussed, and a kind of new unstable regions has been found.展开更多
文摘Based on Timoshenko-Mindlin kinematic hypotheses and Hamilton's principle,a dynamic non-linear theory for general laminated circular cylindrical shells with transverse shear deformation is developed.A multi-mode solution for periodic in- plane loads is formulated for the non-linear dynamic stability of an anti-symmetric angle-ply cylinder with its ends elastically restrained against rotation.The resulted equations in terms of time function are solved by the incremental harmonic balance method.
基金Project supported by the National Natural Science Foundation of China and by a research grant from the Groucher Foundation in Hong Kong.
文摘The fourth-order Zakharov integral equation for surface gravity waves derived by Stiasshie and Shemer is modified to include the effect of shear flow. Using this new equation the class instability of a Stokes wave train in shear flow is studied. The effect of the vorticity on the instability is discussed, and a kind of new unstable regions has been found.
