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• W2914881243 abstract "In everyday, practical, multibody, dynamic simulations, any savings in computational time are welcome. The aim of this paper is to develop an analytical mathematical approach to be used on a low-order element to reduce the computational costs. In this paper the Bernoulli-Euler beam energy formulation is expressed with an absolute nodal coordinate formulation (ANCF) and the general integral equation due to internal strain and bend generalized elastic forces is derived and expressed with the pre-computed matrices. The derived matrices, together with the Gauss quadrature integration, minimize the number of numerical operations when performing a dynamic time simulation. The equations are general and can be used for a cable element, without any restrictions on the strain-bend-displacement relationship. The proposed equations are implemented in the ANCF dynamic model, and the presented numerical results show that savings in the computational time can be achieved." @default.
• W2914881243 created "2019-02-21" @default.
• W2914881243 creator A5019471583 @default.
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• W2914881243 date "2019-04-01" @default.
• W2914881243 modified "2023-09-27" @default.
• W2914881243 title "Analytically derived matrix end-form elastic-forces equations for a low-order cable element using the absolute nodal coordinate formulation" @default.
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• W2914881243 doi "https://doi.org/10.1016/j.jsv.2019.01.039" @default.
• W2914881243 hasPublicationYear "2019" @default.
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