Determination of effective mass for continuous contact models in multibody dynamics
AffiliationDepartment of Aerospace and Mechanical Engineering, University of Arizona
MetadataShow full item record
PublisherSpringer Science and Business Media LLC
CitationNikravesh, P. E., & Poursina, M. (2022). Determination of effective mass for continuous contact models in multibody dynamics. Multibody System Dynamics.
JournalMultibody System Dynamics
Rights© The Author(s), under exclusive licence to Springer Nature B.V. 2022.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractContinuous contact models have been popular in representing contact forces between impacting bodies of a multibody system. These models consider the contact force to be the result of a logical spring-damper element between the contacting bodies that exists for a very short period. The simplified and approximated model for generating the contact force is then assumed to be a mass-spring-damper system. Therefore, three common parameters that these models require are the spring stiffness, damping coefficient, and the so-called effective mass. For systems containing one degree-of-freedom, classical methods based on the kinetic energy have commonly been used to determine the effective mass. However, for multiple-degree-of-freedom multibody systems that contain kinematic joints, the determination of the effective mass has not been adequately addressed in the literature. This paper proposes a simple method for computing the effective mass based on the concept of impulse–momentum balance. This approach is applicable to both constrained and unconstrained equations of motion regardless of the multibody system’s number of degrees-of-freedom. © 2022, The Author(s), under exclusive licence to Springer Nature B.V.
Note12 month embargo; published: 06 December 2022
VersionFinal accepted manuscript