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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 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.   +1 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 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   +3 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.   +3 more
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Formulation of the design of FIR filters on the basis of the Lagrange interpolation formula

International Journal of Circuit Theory and Applications, 1996
Summary: Methods for the design of linear phase FIR filters are formulated on the basis of the Lagrange interpolation formula. Different expressions are given for the basic formulae in the Parks and McClellan method (PM method) and the Shpak and Antoniou method (SA method) without the use of the cumbersome Vandermonde matrices. A method of designing an
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A fictitious domain formulation for flows with rigid particles: A non-Lagrange multiplier version

Journal of Computational Physics, 2007
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C. Veeramani   +2 more
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Lagrange formulation of the symmetric theory of massive spin-3 fields

Physical Review D, 1978
The description of massive spin-3 fields by the Lagrangian formulation based on the symmetric tensor field of rank 3 requires auxiliary fields in order to derive all of the subsidiary conditions. We construct the Lagrangian formulation of the symmetric theory of massive spin-3 fields by introducing the auxiliary field belonging to the representation $D(
Mamoru Kawasaki, Masanori Kobayashi
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Updated Lagrange Formulation Of Internally Balanced Compressible Hyperelastic Materials

Qatar Foundation Annual Research Conference Proceedings Volume 2014 Issue 1, 2014
Nonlinear continuum mechanics is commonly used to study the response of highly de- formable materials. Nowadays, the proposed material models often include internal ma- terial variables in order to capture realistic engineering behavior. The theoretical back- ground is mature and its implementation in the frame of nite element method is well ...
Ashraf Hadoush   +2 more
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Intrinsic Formulation and Lagrange Duality for Elastic Cable Networks with Geometrical Nonlinearity

Journal of Elasticity, 2018
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