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Abstract Considering geometric nonlinearity, the 3-D dynamic behavior of curved boundary cylindrical shell with large rotation under non-uniform internal pressure along its axial direction is studied. Based on Nayfeh and Pai’s[1] theoretical system of shell, the mixed nonlinear 3-D dynamics model with internal force and displacement variables is first derived. Then with the basic assumption about its static and dynamic deformation modes, the 3-D Multi-degree of Freedom governing equations based on the obtained static solution are established using Lagrange’s equation, and an efficient numerical method combined with difference method is developed after linearization and order reduction to the equations, which avoids the difficulty of solving the mixed model due to its strong nonlinearity. The present method is verified to be valid by comparing with results obtained from LS-DYNA. The influences of element number on the FEM and time step on our method are also investigated and find that precision is improved with the decrease of the computing time step and tends to be stable finally. Meanwhile, the 3-D dynamic deformation modes under a linear distribution load were obtained, which are closely related with the load distribution. So one can change or design the load distribution to realize different dynamic deformation modes, which is useful for structural design and optimization of the curved boundary cylindrical shell structure in engineering application.
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Received: 09 October 2013
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2014, Vol. 35 
