Time-Integrated Mixed Lagrangian Formulation for Time-Discontinuous or Impulsive Loadings and Responses of Structures
Publication: Journal of Engineering Mechanics
Volume 139, Issue 9
Abstract
Different phenomena in mechanics often possess sharp gradients in time. In the analysis of such phenomena, traditional time integration schemes often require a very small time increment. In this paper, the equations of motion and the compatibility equations of rate of deformations, which were used to form the mixed Lagrangian formulation (MLF), are integrated with respect to time. This produces the momentum equations and the compatibility of deformations equations. The use of these equations in a framework similar to the MLF enables an accurate and stable analysis of various discontinuous phenomena using relatively large time increments.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 139 • Issue 9 • September 2013
Pages: 1239 - 1248
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Nov 1, 2009
Accepted: Sep 19, 2012
Published online: Sep 22, 2012
Published in print: Sep 1, 2013
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