The Earthquake Engineering Online Archive

Nonlinear static and dynamic analysis of shells of revolution under axisymmetric loading

Nagarajan, Sambamurthy

UCB/SESM-1973/11, Dept. of Civil Engineering, University of California, Berkeley, 1973-09-01, 162 pages

A method of analyzing nonlinear static and dynamic responses of deformable solids has been developed based on an incremental variational formulation using the Lagrangian mode of description. The material nonlinearity due to plasticity or viscoplasticity as well as the geometric nonlinearity due to large displacements is considered. The equations of motion are obtained in a linearized incremental form using the principle of virtual work and solved using step-by-step numerical integration procedures. Equilibrium check is made at the end of each step and the residual forces are added to the next increment for improved accuracy over the pure incremental method.

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