Reduced projection augmented Lagrange bi-conjugate gradient method for contact and impact problems |
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Authors: | Li Nan-sheng Ren Kui-sheng Sha De-song |
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Institution: | School of Civil Engineering, Tongji University, Shanghai 200092, P. R. China;Department of Engineering Mechanics, Dalian University of Technology Dalian 116023, P. R. China |
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Abstract: | Based on the numerical governing formulation and non-linear complementary conditions of contact and impact problems,a reduced projection augmented Lagrange bi- conjugate gradient method is proposed for contact and impact problems by translating non-linear complementary conditions into equivalent formulation of non-linear program- ming.For contact-impact problems,a larger time-step can be adopted arriving at numer- ical convergence compared with penalty method.By establishment of the impact-contact formulations which are equivalent with original non-linear complementary conditions,a reduced projection augmented Lagrange bi-conjugate gradient method is deduced to im- prove precision and efficiency of numerical solutions.A numerical example shows that the algorithm we suggested is valid and exact. |
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Keywords: | contact and impact problems reduced projection augmented Lagrange bi-conjugate gradient numerical method |
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