On the dynamics of cranes, or spherical pendula with moving supports

被引：46

作者：

Ghigliazza, RM ^{[1
]}

Holmes, P

机构：

[1] Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA

[2] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2002年 / 37卷 / 07期

关键词：

D O I：

10.1016/S0020-7462(01)00141-X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider the dynamics of a tower crane: a point mass suspended by a light cable (itself assumed massless) from a horizontally moving support. We derive general equations of motion, and analyse two cases in detail: the linearly accelerating support, and the support describing a circle at constant speed. We show that the former system remains completely integrable, in spite of the fact that energy is no longer conserved. In the second case, while a Hamiltonian is conserved, there is no analogue of angular momentum conservation and the system appears to be non-integrable. We find steadily rotating solutions, discuss their stability and bifurcations, and provide a partial characterisation of global orbit structures. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1211 / 1221

页数：11

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