In this paper, we formulate a semi-implicit time-stepping model for multibody mechanical systems with frictional, distributed compliant contacts. Employing a polyhedral pyramid model for the friction law and a distributed, linear, viscoelastic model for the contact, we obtain mixed linear complementarity formulations for the discrete-time, compliant contact problem. We establish the existence a...

The strong interactions between particles will make the energy within the granular materials propagate through the network of contacts and be partly dissipated. Establishing a model that can clearly classify the dissipation and dispersion effects is crucial for the understanding of the global behaviors in the granular materials. For particles with rate-independent material, the dissipation effe...

This Article is brought to you for free and open access by the Philosophy at Digital Commons @ Loyola Marymount University and Loyola Law School. It has been accepted for inclusion in Philosophy Faculty Works by an authorized administrator of Digital Commons@Loyola Marymount University and Loyola Law School. For more information, please contact [email protected]. Repository Citation Shanah...

This Article is brought to you for free and open access by the Philosophy at Digital Commons @ Loyola Marymount University and Loyola Law School. It has been accepted for inclusion in Philosophy Faculty Works by an authorized administrator of Digital Commons@Loyola Marymount University and Loyola Law School. For more information, please contact [email protected]. Repository Citation Kaczor...

This Article is brought to you for free and open access by the Philosophy at Digital Commons @ Loyola Marymount University and Loyola Law School. It has been accepted for inclusion in Philosophy Faculty Works by an authorized administrator of Digital Commons@Loyola Marymount University and Loyola Law School. For more information, please contact [email protected]. Repository Citation Kaczor...

Following the observations of the self-similarity in various length scales in the roughness of the fractured solid surfaces, we propose here a new model for the earthquake. We demonstrate rigorously that the contact area distribution between two fractal surfaces follows an unique power law. This is then utilised to show that the elastic energy releases for slips between two rough fractal surfac...

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In this paper, stability analysis of walking gaits and robustness analysis are developed for a five-link and four-actuator biped robot. Stability conditions are derived by studying unactuated dynamics and using the Poincaré map associated with periodic walking gaits. A stable gait is designed by an optimization process satisfying physical constraints and stability conditions. Also, considering...

A quasi-static contact problem is considered for a non-linear elastic system with finitely many degrees of freedom. Coulomb’s law is used to model friction and the friction coefficient may be anisotropic and may vary along the surface of the rigid obstacle. Existence is established following a time-incremental minimization problem. Friction is artificially decreased to resolve the discontinuity...

The manuscript aims to report the results of investigation of wave propagation in a 1D chain of particles with randomly assigned masses. The particles are connected by longitudinal springs with power law dependence between the force and displacement. The exponent is assumed either 0 (conventional linear spring) or 0.5 (Hertzian contact). The manuscript however considers only linear contacts (ex...