The equations of an inverted pendulum with an arbitrary number of links and an asymmetric follower force

被引：8

作者：

Lobas, L. G. ^{[1
]}

机构：

[1] Kyiv Univ Econ & Transport Technol, Kiev, Ukraine

来源：

INTERNATIONAL APPLIED MECHANICS | 2007年 / 43卷 / 05期

关键词：

inverted multilink pendulum; asymmetric follower force; physical nonlinearity;

D O I：

10.1007/s10778-007-0055-1

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper formulates a problem for and gives the differential equations of plane-parallel motion of an inverted n-link pendulum subject to an asymmetric follower force applied at the upper end via a spring. The physical nonlinearities of springs are taken into account. The possible mechanisms of energy dissipation are described.

引用

页码：560 / 567

页数：8

共 50 条

[1] The equations of an inverted pendulum with an arbitrary number of links and an asymmetric follower force
L. G. Lobas
International Applied Mechanics, 2007, 43 : 560 - 567
[2] Theory of inverted pendulum with follower force revisited
Lobas, L. G.
Koval'chuk, V. V.
Bambura, O. V.
INTERNATIONAL APPLIED MECHANICS, 2007, 43 (06) : 690 - 700
[3] Theory of inverted pendulum with follower force revisited
L. G. Lobas
V. V. Koval’chuk
O. V. Bambura
International Applied Mechanics, 2007, 43 : 690 - 700
[4] Equilibrium states of a pendulum with an asymmetric follower force
Lobas, L. G.
Koval'chuk, V. V.
Bambura, O. V.
INTERNATIONAL APPLIED MECHANICS, 2007, 43 (04) : 460 - 466
[5] Equilibrium states of a pendulum with an asymmetric follower force
L. G. Lobas
V. V. Koval’chuk
O. V. Bambura
International Applied Mechanics, 2007, 43 : 460 - 466
[6] Generalized Mathematical Model of an Inverted Multilink Pendulum with Follower Force
L. G. Lobas
International Applied Mechanics, 2005, 41 : 566 - 572
[7] Generalized mathematical model of an inverted multilink pendulum with follower force
Lobas, LG
INTERNATIONAL APPLIED MECHANICS, 2005, 41 (05) : 566 - 572
[8] Equilibrium of an Inverted Mathematical Double-Link Pendulum with a Follower Force
L. G. Lobas
L. D. Patricio
I. G. Boruk
International Applied Mechanics, 2002, 38 : 372 - 376
[9] Equilibrium of an inverted mathematical double-link pendulum with a follower force
Lobas, LG
Patricio, LD
Boruk, IG
INTERNATIONAL APPLIED MECHANICS, 2002, 38 (03) : 372 - 376
[10] Divergent bifurcations of a double pendulum under the action of an asymmetric follower force
Koval'chuk, VV
Lobas, VL
INTERNATIONAL APPLIED MECHANICS, 2004, 40 (07) : 821 - 828

← 1 2 3 4 5 →