Results 231 to 240 of about 1,882,584 (263)

Method of multiple scales and identification of nonlinear structuraldynamic systems

24th Structures, Structural Dynamics and Materials Conference, 1983
A procedure is developed to identify the parameters of a nonlinear structural dynamic system with a single degree of freedom. A cubic nonlinearity is assumed for purposes of illustration. In comparison to the direct identification procedures, which depend on either the availability of data on all four variables, namely, velocity, acceleration ...
Hanagud, S. V., Meyyappa, M., Craig, J. I.   +2 more
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Nonlinear Optimal Control Problems and the Method of Multiple Scales

IMA Journal of Mathematical Control and Information, 1989
Summary: The method of multiple scales is used to obtain an approximate solution to the problem of the optimal control of a second-order differential equation containing a small nonlinearity. Applications are made to the Duffing and van der Pol equations.
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Resolving Controversies in the Application of the Method of Multiple Scales and the Generalized Method of Averaging

Nonlinear Dynamics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Multiple Scales Method, Homoclinic Bifurcation and Melnikov's Method for Autonomous Systems

International Journal of Bifurcation and Chaos, 1998
Melnikov's method is a well-established technique for detecting homoclinic bifurcation of perturbed autonomous or forced systems. This method uses a regular perturbation expansion in terms of a small parameter in the system. Whilst the approach correctly estimates the parameter values for the bifurcation and transverse intersections of separatrices ...
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THE KBM DERIVATIVE EXPANSION METHOD IS EQUIVALENT TO THE MULTIPLE-TIME-SCALES METHOD

Journal of Sound and Vibration, 1997
Summary: Several perturbation methods are commonly used to predict the free and forced response of weakly non-linear oscillators. The Krylov-Bogoliubov-Mitropolsky (KBM) and multiple-time-scales (MTS) methods use expansions of dependent variables, ordinary time derivatives, and some system parameters to convert the equations of motion into a set of ...
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The Method of Multiple Scales and the ∈-Power Series

1998
The perturbation strategy known as the “method of multiple scales” lies at the heart of solitary wave theory. First, it is the vehicle by which three-dimensional reality is approximated by one-dimensional models such as the Korteweg-deVries equation. One might call this “reduction of dimension”.
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An efficient meshfree method based on Pascal polynomials and multiple-scale approach for numerical solution of 2-D and 3-D second order elliptic interface problems

Journal of Computational Physics, 2021
Ömer ORUC
exaly  

Decision making towards large-scale alternatives from multiple online platforms by a multivariate time-series-based method

Expert Systems With Applications, 2023
Xianli Wu, Huchang Liao
exaly  

Two-scale concurrent topology optimization method of hierarchical structures with self-connected multiple lattice-material domains

Composite Structures, 2021
Yunfeng Luo, Shutian Liu, Jingyu Hu
exaly  

Geometrically nonlinear frequency analysis of composite cylinders with metamaterial honeycomb layer and adjustable Poisson’s ratio using the multiple scale method

Thin-Walled Structures, 2021
Hamidreza Eipakchi, Farid Mahboubi Nasrekani   +1 more
exaly