Four kinds of springs are introduced at the non-impact end of an axially impacted cylindrical shell to simulate general boundary conditions. These are linear springs distributed along the axial, circumferential, radial directions, respectively, and rotational springs distributed along the radial direction. To study the dynamic characteristics of axially impacted cylindrical shells with general boundary conditions, firstly, the stress and the strain of a cylindrical shell during deformation are obtained based on Love thin shell theory. The displacements of the cylindrical shell are expressed in the form of improved Fourier series. Secondly, the stress, strain and displacements of the cylindrical shell are substituted into energy expression. The energy expression is derived and transformed using first-order variational method which is on the basis of Hamilton equation. Discriminant about natural frequency and critical buckling load is achieved. Finally, the effects of general boundary conditions on the natural frequency and the critical buckling load are calculated. Several numerical examples reveal that the natural frequency decreases with increasing the impact load. The natural frequency and the critical buckling load increase with increasing the axial wave number, and the critical buckling load increases with increasing the circumferential wave number. The lower the stiffnesses of four kinds of springs are, the lower the natural frequency and the higher the critical buckling load will be. Under axial impact, the change of boundary conidtions will affect buckling modal shapes.
Key words
elastic cylindrical shell /
general boundary conditions /
axial impact /
energy method /
dynamic characteristics
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