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As the modal analysis bases on linear theory, the non-linearities are hard to include.
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Although the results are based on linear theory and obviously neglect higher order effects, the method is unmatched when comparing and optimizing designs.
Conventional analyses of piezoelectric laminated structures are based on linear theories.
Based on the linear theory of elasticity, the initial dynamic equilibrium equations are derived.
A simple analytic expression, based on the linear theory of beams, is developed for the critical loads.
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