Journal ArticleDOI
Proper orthogonal decomposition method for analysis of nonlinear panel flutter with thermal effects in supersonic flow
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TLDR
In this paper, the proper orthogonal decomposition (POD) method for analysis of nonlinear panel flutter subjected to supersonic flow is presented, which can obtain accurate chaotic solutions, using fewer modes and less computational effort than the Galerkin mode approach; additionally, the POD method converges faster in the analysis of chaotic transients.About:
This article is published in Journal of Sound and Vibration.The article was published on 2015-02-17. It has received 35 citations till now. The article focuses on the topics: Flutter & Galerkin method.read more
Citations
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Journal ArticleDOI
Review for order reduction based on proper orthogonal decomposition and outlooks of applications in mechanical systems
Kuan Lu,Yulin Jin,Yulin Jin,Yushu Chen,Yongfeng Yang,Lei Hou,Zhiyong Zhang,Zhonggang Li,Chao Fu +8 more
TL;DR: A review of proper orthogonal decomposition (POD) methods for order reduction in a variety of research areas is presented in this paper, where the historical development and basic mathematical formulation of the POD method are introduced.
Journal ArticleDOI
Proper Orthogonal Decomposition Reduced-Order Model for Nonlinear Aeroelastic Oscillations
Dan Xie,Min Xu,Earl H. Dowell +2 more
TL;DR: In this paper, the proper orthogonal decomposition method in conjunction with a Galerkin projection scheme is employed to solve the title problem of a fluttering plate in both two and three dimensions undergoing supersonic flow using von Karman’s large deflection plate theory and quasi-steady aerodynamic theory.
Journal ArticleDOI
Accurate modeling and analysis of a bio-inspired isolation system: with application to on-orbit capture
TL;DR: The accurate dynamical model of a bio-inspired isolation (BII) system with complete consideration of the kinetic and potential energies of all components is established for the first time and an essential distinction occurs between the two models, indicating that using the accurate BII model is extremely important.
Journal ArticleDOI
Investigations on the influences of elastic foundations on the aerothermoelastic flutter and thermal buckling properties of lattice sandwich panels in supersonic airflow
TL;DR: In this article, the aerothermoelastic flutter and thermal buckling characteristics of sandwich panels with the pyramidal lattice core resting on elastic foundations in supersonic airflow are studied.
Journal ArticleDOI
Nonlinear Elastic Plate in a Flow of Gas: Recent Results and Conjectures
TL;DR: In this article, a survey of recent results on flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity is given, including theory of asymptotic stability, convergence to equilibria, and to global attracting sets.
References
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Determining Lyapunov exponents from a time series
TL;DR: In this article, the authors present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series, which provide a qualitative and quantitative characterization of dynamical behavior.
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TL;DR: In this article, the authors present a mathematical model for chaotic multidimensional flows and fractal dimension calculation based on the Lyapunov exponents and the Hamiltonian chaos.
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TL;DR: In this article, the authors show that crisis events are prevalent in many circumstances and systems, and that, just past a crisis, certain characteristic statistical behavior (whose type depends on the type of crisis) occurs.