Dynamics of Multibody Systems With Spherical Clearance Joints

Journal of Computational and Nonlinear Dynamics - Tập 1 Số 3 - Trang 240-247 - 2006
Paulo Flores1, Jorge Ambrósio2, José Carlos Pimenta Claro1, Hamid M. Lankarani3
1Departamento de Engenharia Mecânica, Universidade do Minho, Campus de Azurém, 4800-058 Guimarães, Portugal
2Instituto de Engenharia Mecânica (IDMEC), Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001 Lisboa Portugal
3Department of Mechanical Engineering,#N#Wichita State University,#N#Wichita, KS 67260

Tóm tắt

This work deals with a methodology to assess the influence of the spherical clearance joints in spatial multibody systems. The methodology is based on the Cartesian coordinates, with the dynamics of the joint elements modeled as impacting bodies and controlled by contact forces. The impacts and contacts are described by a continuous contact force model that accounts for geometric and mechanical characteristics of the contacting surfaces. The contact force is evaluated as function of the elastic pseudo-penetration between the impacting bodies, coupled with a nonlinear viscous-elastic factor representing the energy dissipation during the impact process. A spatial four-bar mechanism is used as an illustrative example and some numerical results are presented, with the efficiency of the developed methodology discussed in the process of their presentation. The results obtained show that the inclusion of clearance joints in the modelization of spatial multibody systems significantly influences the prediction of components’ position and drastically increases the peaks in acceleration and reaction moments at the joints. Moreover, the system’s response clearly tends to be nonperiodic when a clearance joint is included in the simulation.

Từ khóa


Tài liệu tham khảo

Dubowsky, Dynamic Analysis of Mechanical Systems with Clearances, Part 1: Formulation of Dynamic Model, ASME J. Eng. Ind., 93, 305, 10.1115/1.3427895

Bahgat, On the Effect of Bearing Clearances in the Dynamic Analysis of Planar Mechanisms, J. Mech. Eng. Sci., 21, 429, 10.1243/JMES_JOUR_1979_021_073_02

Seneviratne, Chaotic Behaviour Exhibited During Contact Loss in a Clearance Joint if a Four-Bar Mechanism, Mech. Mach. Theory, 27, 307, 10.1016/0094-114X(92)90021-9

Farahanchi, Chaotic and Periodic Dynamics of a Slider-Crank Mechanism with Slider Clearance, J. Sound Vib., 177, 307, 10.1006/jsvi.1994.1436

Rhee, Dynamic Response of a Revolute Joint With Clearance, Mech. Mach. Theory, 31, 121, 10.1016/0094-114X(95)00061-3

Flores, Dynamic Analysis for Planar Multibody Mechanical Systems with Lubricated Joints, Multibody Syst. Dyn., 12, 47, 10.1023/B:MUBO.0000042901.74498.3a

Lankarani, A Contact Force Model With Hysteresis Damping for Impact Analysis of Multibody Systems, ASME J. Mech. Des., 112, 369, 10.1115/1.2912617

Ambrósio, Impact of Rigid and Flexible Multibody Systems: Deformation Description and Contact Models, Virtual Nonlinear Multibody Systems, 15

Goldsmith, Impact: The Theory and Physical Behaviour of Colliding Solids

Nikravesh, Computer-Aided Analysis of Mechanical Systems

Hertz, On the Contact of Solids; On the Contact of Rigid Elastic Solids and on Hardness, Miscellaneous Papers, 146

Chang, An Adaptive Constraint Violation Stabilization Method for Dynamic Analysis of Mechanical Systems, ASME J. Mech., Transm., Autom. Des., 107, 488, 10.1115/1.3260750

Baumgarte, Stabilization of Constraints and Integrals of Motion in Dynamical Systems, Comput. Methods Appl. Mech. Eng., 1, 1, 10.1016/S0045-7825(99)00102-4

Shampine, Computer Solution of Ordinary Differential Equations: The Initial Value Problem