The Arc-Length Method from Controlling Load to Controlling Electric Potential

Abstract:

This paper generalizes the arc-length method, and proposes a new scheme of controlling equilibrium path including static equilibrium and electrostatic equilibrium. To take example for the thin plate electrode posing on the electrostatic field force, whose governing equations are the two fold nonlinear coupling equation, the method to compute the incremental factor is give in detain. The result is to show that not only the approximate critical voltage is obtained but also the trace after losing stability is found stably.

• Periodical: Applied Mechanics and Materials (Volume 33)
• Pages: 636-641
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.33.636
• Online since: October 2010
• Authors: Xiao Bin Yang
• Keywords: Arc-Length Method, Incremental Finite Element, Nonlinear

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