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The Energy Conserving Algorithm of the System Acted by an Exponential Impact Force  

윤성호 (금오공과대학교 기계공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.16, no.3, 2003 , pp. 311-319 More about this Journal
Abstract
This paper aims at investigating the exact dynamic response of the system undergoing a exponential impact force from the viewpoints of conservations of momentum and energy. The midpoint method applied in the Newmark's family algorithm is found to be identical to the case of the application of the trapezoidal method which provides conservations of momentum and energy. For the linear impact force the mid point, the trapezoidal and the (n+1) point method exactly meet the conservation characteristics independent of the size of integration interval. On the other hand, constants for the dynamic motion resulting from the nonlinear impact are underestimated or overestimated by these method mentioned above. To overcome this indispensible error, the Simpson 1/3 method as one of multi step methods whose advantages is to use longer time interval with the same number of evaluation functions is adopted for the exact conservations of momentum and energy. Moreover, the suggested method is expected to expand the similar algorithm for the general dynamic motion including finite rotations.
Keywords
nonlinear impulse force; mid point method; trapezoicdal method; multistep method; Simpson 1/3 method; momentum/energy conserving algorithm;
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