Abstract
This paper considers the dynamics of structural systems modeled using the finite element method and subject to dry friction damping, using Coulomb's law for the friction force model. A new frequency-time domain method, the Dynamic Lagrangian mixed Frequency-Time method (DLFT), is developed to calculate the steady-state forced response. The dynamic Lagrangians formulation introduced herein, when used in conjunction with a nonlinear solver in the frequency domain, is better suited to handling dry friction nonlinearities than the traditional augmented Lagrangians method. Namely, the use of dynamic Lagrangians allows one to solve for the nonlinear forces between two finite element nodes of the structure without using artifacts such as a spring. Hence the finite element model does not have to be degraded at the contact interface. Furthermore, a new reduction of the nonlinear system is proposed to decrease the required computation time. Finally, a set of numerical examples is presented for a beam in contact with a flexible dry friction element connected to ground, for frictional constraints that feature two-dimensional relative motion, and for a large-scale structural system with many friction dampers.
Original language | English |
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Pages | 3049-3058 |
Number of pages | 10 |
State | Published - 2001 |
Event | 18th Biennial Conference on Mechanical Vibration and Noise - Pittsburgh, PA, United States Duration: 9 Sep 2001 → 12 Sep 2001 |
Conference
Conference | 18th Biennial Conference on Mechanical Vibration and Noise |
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Country/Territory | United States |
City | Pittsburgh, PA |
Period | 9/09/01 → 12/09/01 |