A UNIFIED APPROACH FOR THE DYNAMICS OF BEAMS UNDERGOING ARBITRARY SPATIAL MOTION

被引：11

作者：

BOUTAGHOU, ZE

ERDMAN, AG

机构：

[1] Productivity Center, Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1991年 / 113卷 / 04期

关键词：

D O I：

10.1115/1.2930213

中图分类号：

O42 [声学];

学科分类号：

070206 [声学]; 082403 [水声工程];

摘要：

A unified approach to systematically derive the dynamic equations for flexible bodies is proposed. This approach is not limited to a particular definition of the field of kinematic representation of deformation. Dynamics of flexible bodies in arbitrary spatial motion experiencing small and large elastic deflections are considered. Two test cases are analyzed via the unified approach. For the first case, linear partial differential equations based on the Euler-Bernoulli beam theory with the von Karman geometric constraint for flexible bodies in planar motion are derived. These equations capture the centrifugal stiffening effects arising in fast rotating structures. For the second case, analytical and numerical evidence of out-of-plane vibrations of an inplane rotating three-dimensional Timoshenko beam with cross sectional area of arbitrary shape is reported.

引用

页码：494 / 507

页数：14

共 23 条

[1]

Balasubramonian A., Raghavacharyulu E., Vibratory Response of an Elastic Coupler of a Four Bar Linkage, ASME Paper No. 85-DET-194, (1985)

[2]

Boutaghou Z.-E., Erdman A.G., On the Dynamics of Euler-Bernoulli/Timoshenko Beams: A Unified Approach, Proc. Of the Twelfth Biennial ASME Conference on Mechanical Vibration and Noise, (1989)

[3]

Erdman A.G., Sandor G.N., Kineto-Elastodynamics—A Review of the State of the Art and Trends, Mechanisms and Machine Theory, 7, (1972)

[4]

Ider S.K., Amirouche F.M.L., Nonlinear Modeling of Flexible Multibody Systems Dynamics Subjected to Variable Constraints, ASME Journal of Applied Mechanics, 56, pp. 444-450, (1989)

[5]

Kane T.R., Ryan R.R., Banerjee A.K., Dynamics of a Cantilever Beam Attached to a Moving Base, AIAA Journal, 10, 2, pp. 139-151, (1986)

[6]

Kim S.-S., Haug E.J., A Recursive Formulation for Flexible Multibody Dynamics, Part I: Open-Loop Systems, Computer Methods in Applied Mechanics and Engineering, 71, pp. 293-314, (1988)

[7]

Lowen G.G., Jandrasits W.G., Survey of Investigations into the Dynamic Behavior of Mechanisms Links with Distributed Mass and Elasticity, Mechanism and Machine Theory, 7, pp. 3-17, (1972)

[8]

Lowen G.G., Chassapis C., The Elastic Behavior of Linkage: An Update, Mechanism and Machine Theory, 21, 1, pp. 33-42, (1986)

[9]

Meirovitch L., Computational Methods in Structural Dynamics, Sijth-offand Nordhoff, Maryland, (1980)

[10]

Nagathan G., Soni A.H., Nonlinear Modeling of Kinemtic and Flexibility Effects in Manipulator Design, ASME Paper No. 86-DET-88, (1986)

← 1 2 3 →