Results 161 to 170 of about 369,300 (196)

The generalized Lagrange formulation for nonlinear RLC networks

IEEE Transactions on Circuits and Systems, 1982
Based on the concept of generalized Euler-Lagrange equations, this paper develops a Lagrange formulation of RLC networks of considerably broad scope. It is shown that the generalized Lagrange equations along with a set of compatibility constraint equations represents a set of governing differential equations of order equal to the order of complexity of
H. Kwatny, F. Massimo, L. Bahar
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A Lagrange–Eulerian formulation of an axially moving beam based on the absolute nodal coordinate formulation

Multibody System Dynamics, 2013
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Pechstein, Astrid, Gerstmayr, Johannes
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A contact formulation based on localized Lagrange multipliers: formulation and application to two‐dimensional problems

International Journal for Numerical Methods in Engineering, 2002
AbstractThe non‐penetration condition in contact problems is traditionally based on the classical Lagrange multiplier method. This method makes extensive use of modelling details of the contacting bodies for contact enforcement as the contact surface meshes are in general non‐matching.
Rebel, G., Park, K. C., Felippa, C. A.
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Investigation of a New Formulation of the Lagrange Method for Constrained Dynamic Systems

Journal of Applied Mechanics, 1997
Lagrange multipliers are often used in order to model constrained dynamic systems. This method results in problems of constraints violations and therefore various methods of constraints stabilization have been presented in the past. The purpose of the present paper is to present a new formulation of the method that stabilizes the constraints, but ...
Rosen, A., Edelstein, E.
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Fractional-order Euler–Lagrange equations and formulation of Hamiltonian equations

Nonlinear Dynamics, 2009
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Herzallah, Mohamed A. E., Baleanu, Dumitru   +1 more
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Formulation of variational principles via Lagrange multipliers

Journal of Mathematical Physics, 1981
Recent work on variational principles in mathematical physics enables one to construct, in a novel and systematic way, stationary expressions for a wide class of functionals P(E), where E is an unknown (vector) function whose defining equation cannot be solved exactly.
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A Constrained Lagrange Formulation of Multilink Planar Flexible Manipulator

Journal of Vibration and Acoustics, 2008
In this article, the closed-form dynamic equations of planar flexible link manipulators (FLMs), with revolute joints and constant cross sections, are derived combining Lagrange’s equations and the assumed mode shape method. To overcome the lengthy and complicated derivative calculation of the Lagrangian function of a FLM, these computations are done ...
M. Vakil, R. Fotouhi, P. N. Nikiforuk, H. Salmasi   +3 more
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Formulating Problems by Lagrange’s Equations

1977
Lagrange’s equations formulate the general, constrained dynamics problem without the need for fixing the coordinate system at the outset, and in terms of general constraints [provided only that they belong to the broad class of constraints defined in (11.2.14) and (11.2.15)].
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A yield-limited Lagrange multiplier formulation for frictional contact

International Journal for Numerical Methods in Engineering, 2000
Summary: An analogy with rigid plasticity is used to develop a constitutive framework for quasi-static frictional contact between finitely deforming solids. Within this setting, we use a Lagrange multiplier method to examine a sharp distinction between stick and slip. The scope of the multipliers is limited by a constitutively defined `yield' function,
Jones, Reese E., Papadopoulos, Panayiotis   +1 more
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Treatment of acoustic fluid–structure interaction by localized Lagrange multipliers: Formulation

Computer Methods in Applied Mechanics and Engineering, 2008
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Ross, Michael R., Felippa, Carlos A., Park, K. C., Sprague, Michael A.   +3 more
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