Analytically derived matrix end-form elastic-forces equations for a low-order cable element using the absolute nodal coordinate formulation

被引：17

作者：

Zemljaric, Borut ^{[1
]}

Azbe, Valentin ^{[2
]}

机构：

[1] Elektro Gorenjska Dd, Design Dept, Ul Mirka Vadnova 3a, SI-4000 Kranj, Slovenia

[2] Univ Ljubljana, Fac Elect Engn, Trzaska Cesta 25, SI-1000 Ljubljana, Slovenia

来源：

JOURNAL OF SOUND AND VIBRATION | 2019年 / 446卷

关键词：

Absolute nodal coordinate formulation; Multi-body dynamics; Thin beam; Cables; Matrix; Dynamic simulations; MODEL; IMPLEMENTATION; SYSTEM;

D O I：

10.1016/j.jsv.2019.01.039

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

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-benddisplacement 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. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：263 / 272

页数：10