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Showing 1 to 5 of 5 for “"reduced equations"”.
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The Solution of a Parabolic Partial Differential Equation via Domain Decomposition: The Synthesis of Asymptotic and Numerical Analysis
… is used to determine regions where certain reduced equations may be solved in place of the full equation. Parallelism is evident at two levels. Domain decomposition provides parallelism at the highest level, and within each domain there is ample opportunity to exploit parallelism. Run-time …
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Nonlinear transverse vibrations of centrally clamped rotating circular disks
… appearing in the governing partial-differential equations are cubic, we use the Galerkin procedure to reduce the problem into a finite number of coupled weakly nonlinear second-order equations. The coefficients of the nonlinear terms in the reduced equations are calculated for a wide range of the …
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Modeling and Control of a Snake-like Serial-link Structure
… symmetries which allow them to be placed in a reduced form. Using this form in conjunction with a technique known as feedback linearization, one finds that the dynamics are driven by a three state system describing the evolution of generalized momenta with respect to the device's internal shape …
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A theoretical and experimental investigation of parametrically excited nonlinear mechanical systems
… multiple scales (MMS) is used to determine the equations that describe to first and second order the amplitude- and phase-modulations with time. These equations are used to determine the fixed points and their stability. The perturbation results are verified by integrating the governing …
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Free vibration and nonlinear transient analysis of imperfect laminated structures
… schemes as applied to the full set of equations and also using reduction methods. Two time integration schemes, the Newmark method and the Wilson () method, are first tested on a series of linear and nonlinear examples without and with geometric imperfections. Reduction methods using …