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A Mixed and Multi-Step Higher-Order Implicit Time Integration Family

M Rezaiee-Pajand, S R Sarafrazi
2010 Proceedings of the Institution of mechanical engineers. Part C, journal of mechanical engineering science  
The findings of the article show the efficiency, accuracy and robustness of the suggested techniques.  ...  The stability and accuracy of the proposed time integration schemes are investigated by solving some benchmark problems. Numerical results are checked and compared with well-known strategies.  ...  It is reminded that the DRM is an algorithm for solving a system of linear or nonlinear static equations. The DRM solver adds the inertia and damping forces to the static system.  ... 
doi:10.1243/09544062jmes2093 fatcat:tjqsrn45bzedvie24zn4ojtzmi

Past, present and future of nonlinear system identification in structural dynamics

Gaëtan Kerschen, Keith Worden, Alexander F. Vakakis, Jean-Claude Golinval
2006 Mechanical systems and signal processing  
The fundamental differences between linear and nonlinear oscillations are also detailed in a tutorial.  ...  This survey paper contains a review of the past and recent developments in system identification of nonlinear dynamical structures.  ...  Near point G 1 , the nonlinear attachment vibrates nearly independently and 'drives' the linear oscillator; in the vicinity of G 2 the oscillators vibrate as a set of 'uncoupled linear oscillators' with  ... 
doi:10.1016/j.ymssp.2005.04.008 fatcat:fk6zjwb2rvedpm7xjky4454gpm

Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: a review

Mahmoud Bayat, Iman Pakar, Ganji Domairry
2012 Latin American Journal of Solids and Structures  
The limitations of traditional perturbation methods are illustrated, various modified perturbation techniques are proposed, and some mathematical tools such as variational theory, homotopy technology,  ...  Some patterns are given to illustrate the effectiveness and convenience of the methodologies.  ...  with inertia and static type fifth-order non-linearties is expressed by equations in engineering problems:A revieẅ Figure 6 . 3 63 solution for 3 modes.Figures show the motion of the system is a periodic  ... 
doi:10.1590/s1679-78252012000200003 fatcat:j46z62fxsnggjmd6t5dm6vxy6i

Neural network modeling of a dolphin's sonar discrimination capabilities

Lars N. Andersen, A. René Rasmussen, Whitlow W. L. Au, Paul E. Nachtigall, Herbert Roitblat
1994 Journal of the Acoustical Society of America  
The sound field scattered by a smooth thin elastic shell immersed in fluid arises largely from specular reflection and acoustic-membrane coupling, unless both source and observer are located near or on  ...  the shell.  ...  Four types of stimuli were constructed by varying two factors: (1) appropriate versus fixed vowel duration and (2) variation in tones representing formant movement throughout the token versus static target  ... 
doi:10.1121/1.410770 fatcat:ioiiov6bmjdi7kiflait5dhdfe

Neural network modeling of a dolphin's sonar discrimination capabilities

Whitlow W. L. Au, Lars N. Andersen, A. René Rasmussen, Herbert L. Roitblat, Paul E. Nachtigall
1995 Journal of the Acoustical Society of America  
The sound field scattered by a smooth thin elastic shell immersed in fluid arises largely from specular reflection and acoustic-membrane coupling, unless both source and observer are located near or on  ...  the shell.  ...  Four types of stimuli were constructed by varying two factors: (1) appropriate versus fixed vowel duration and (2) variation in tones representing formant movement throughout the token versus static target  ... 
doi:10.1121/1.413700 pmid:7608403 fatcat:m3nunzs4wfflhfl27n4shdn2n4

Numerical fluid dynamics

1988 Mathematics and Computers in Simulation  
Moreover the proper |way to handle cubic splines in non-rectangular domains is still a mystery.  ...  Harmonic analysis in time is always applicable to 'small oscillations' (i.e., to waves of 'infinitesimal' amplitude), of 'free surfaces' satisfying (8.2) of time-dependent potential flows with stationary  ...  7-30 It assigns one equation A2 oscillations' of conservative dynamical systems (see Chapter 2, § §3-4, and Chapter 5).  ... 
doi:10.1016/0378-4754(88)90144-9 fatcat:m65zkk4dbrc6zg3epxx3wpzhjy

Numerical Fluid Dynamics

Garrett Birkhoff
1983 SIAM Review  
Moreover the proper |way to handle cubic splines in non-rectangular domains is still a mystery.  ...  Harmonic analysis in time is always applicable to 'small oscillations' (i.e., to waves of 'infinitesimal' amplitude), of 'free surfaces' satisfying (8.2) of time-dependent potential flows with stationary  ...  7-30 It assigns one equation A2 oscillations' of conservative dynamical systems (see Chapter 2, § §3-4, and Chapter 5).  ... 
doi:10.1137/1025001 fatcat:cuusudsq25a2pmjj5gf4yfoghi

Influence of statistical surface models on dynamic scattering of high‐frequency signals from the ocean surface

Christian Bjerrum‐Niese, Leif Bjo/rno/
1994 Journal of the Acoustical Society of America  
The sound field scattered by a smooth thin elastic shell immersed in fluid arises largely from specular reflection and acoustic-membrane coupling, unless both source and observer are located near or on  ...  the shell.  ...  Four types of stimuli were constructed by varying two factors: (1) appropriate versus fixed vowel duration and (2) variation in tones representing formant movement throughout the token versus static target  ... 
doi:10.1121/1.411137 fatcat:ajwj7bozxzg6fd27v4xe57drgm

Danish activities concerning noise in the environment

Fritz Ingerslev
1982 Journal of the Acoustical Society of America  
The strength and weakness of this technique applied to vibration analysis will be discussed in particular.  ...  technique that identically satisfies the energy conservation.  ...  A robotic acoustic intensity measurement system (RAIMS) was signed and constructed to automate the analysis of sound fields using acoustic intensity techniques.  ... 
doi:10.1121/1.2019901 fatcat:kk6boa5no5aitorvgbktvdlxou

Ray tracing in a turbulent, shallow‐water channel

Christian Bjerrum‐Niese, René Lützen, Leif Bjo/rno/
1998 Journal of the Acoustical Society of America  
traced with variations in type and size of dissipation mechanism, and the ambient loading.  ...  Both free and forced vibrations have been studied.  ...  These results are based on a systematic multiple-scattering analysis and provide non ad hoc expressions for both the scattering and the propagation parts of the problem.  ... 
doi:10.1121/1.422455 fatcat:vqypn7trzberzap3bkznkoddcu

Scattering by two spheres: Theory and experiment

Irina Bjo/rno/, Leif Bjo/rno/
1998 Journal of the Acoustical Society of America  
traced with variations in type and size of dissipation mechanism, and the ambient loading.  ...  Both free and forced vibrations have been studied.  ...  These results are based on a systematic multiple-scattering analysis and provide non ad hoc expressions for both the scattering and the propagation parts of the problem.  ... 
doi:10.1121/1.421626 fatcat:qf2u35fztjfgtgredwhbg53zwm

Alternative Power Systems and Devices [chapter]

2017 Systems, Controls, Embedded Systems, Energy, and Machines  
Reprinted material is quoted with permission, and sources are indicated. A wide variety of references are listed.  ...  Reasonable efforts have been made to publish reliable data and information, but the author and the publisher cannot assume responsibility for the validity of all materials or for the consequences of their  ...  viewpoint it may be desirable to think of this equation in terms of a block diagram consisting of linear dynamic elements and a static nonlinearity, which in this case is a cubic with input dy/dt and  ... 
doi:10.1201/9781420037043-7 fatcat:px3rpk2xgvhtbjwr7s3h3k6ute

Statistical mechanics: entropy, order parameters, and complexity

2006 ChoiceReviews  
The errors and awkwardness that persist, and the exciting topics I have missed, are in spite of the wonderful input from these friends and colleagues.  ...  I would like to thank Bray for reading portions of the text, providing invaluable insights, and tightening the presentation.  ...  For a non-uniform system, the local chemical potential at a point x is µ(x) = δ δρ(x) F (y)dy (6.64) the variational derivative 41 of the free energy density with respect to 41 That is, the derivative  ... 
doi:10.5860/choice.44-2172 fatcat:edxesuhfdvggvfgfioiflerr6u

Many-body physics with ultracold gases

Immanuel Bloch, Jean Dalibard, Wilhelm Zwerger
2008 Reviews of Modern Physics  
Its focus are effects beyond standard weak-coupling descriptions, like the Mott-Hubbard-transition in optical lattices, strongly interacting gases in one and two dimensions or lowest Landau level physics  ...  This article reviews recent experimental and theoretical progress on many-body phenomena in dilute, ultracold gases.  ...  The second type of excitation found by Lieb ͑1963a͒ also has a linear dispersion at small q with the same velocity.  ... 
doi:10.1103/revmodphys.80.885 fatcat:wp4xgsij4nh5zmansg22iwosrm

On the Calculation of Time Correlation Functions [chapter]

B. J. Berne, G. D. Harp
2007 Advances in Chemical Physics  
Without the cooperation of the Staff and the free use of the facilities of the Columbia University Computer Center, this work could never have been undertaken.  ...  Acknowledgments The work reported here was supported by grants from The Petroleum Research Fund of the American Chemical Society and the National Science Foundation.  ...  Consider, for example, the case of a diatomic molecule relaxing from the vibrationally excited state In + 1) to the vibrational state In) due to its interactions with a bath of solvent molecules.  ... 
doi:10.1002/9780470143636.ch3 fatcat:m3klj3crabaj5pr33w7gptvawq
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