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Local structural stability evaluation using model reduction

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초록

Herein, a practical method is proposed to evaluate the local stability of large-size structures by combining two methods: direct evaluation and model reduction. The local stability of structures can be evaluated using a direct evaluation method that investi-gates the second variation of the local strain energy via nonlinear finite element (FE) analysis. For FE solutions with large degrees of freedom, the computational efficiency is improved significantly by applying the model reduction method. This combined method offers three primary advantages. First, it can be applied to any arbitrary part of a general structure. Second, it accounts for complicated interactions between local and global structures. Finally, it can be used easily by engineers in industries to reduce the computational cost. The effectiveness of the evaluation methodology is presented based on two numerical examples.

Abstract

Herein, a practical method is proposed to evaluate the local stability of large-size structures by combining two methods: direct evaluation and model reduction. The local stability of structures can be evaluated using a direct evaluation method that investi-gates the second variation of the local strain energy via nonlinear finite element (FE) analysis. For FE solutions with large degrees of freedom, the computational efficiency is improved significantly by applying the model reduction method. This combined method offers three primary advantages. First, it can be applied to any arbitrary part of a general structure. Second, it accounts for complicated interactions between local and global structures. Finally, it can be used easily by engineers in industries to reduce the computational cost. The effectiveness of the evaluation methodology is presented based on two numerical examples.

참고문헌 (23)

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