Lumped-parameter and finite-element-models for dynamic behavior of plane straight sided frames.
Harley, James Harold
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Lumped-parameter and finite-element-models are developed for the dynamic behavior of plane straight sided frames. The models do not include axial and shear deformation, but the equations of motion developed using the models allow for time varying external loading. The performance of these models is evaluated by a comparison with a standard transfer matrix method for the special case of free undamped vibration. The finite-element-model proves to be much the better model. For the first five modes, the finite-element-model with 27 degrees of freedom differs by no more than 0.4% from the "exact values" given by the transfer matrix method. The lumped-parameter-model with 39 degrees of freedom gives errors roughly ten times as great.
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