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Forward Dynamics, Elimination Methods, and Formulation Stiffness in Robot Simulation

The International Journal of Robotics Research, 1997
The numerical simulation problem of tree-structured multi body systems, such as robot manipulators, is usually treated as two separate problems: 1) the forward dynamics problem for computing system accelerations, and 2) the numerical integra tion problem for advancing the state in time.
Uri M. Ascher   +2 more
openaire   +1 more source

An Energy-Conserving and Filtering Method for Stiff Nonlinear Multibody Dynamics

Multibody System Dynamics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Shanshin, Tortorelli, Daniel A.
openaire   +2 more sources

A dynamic adaptive method for hybrid integration of stiff chemistry

Combustion and Flame, 2015
Abstract The operator-splitting schemes for integration of stiff diffusion–reaction systems were found to fail in error control, i.e. incurring O(1) relative errors, with splitting time steps larger than that required for fully explicit integration, when significant non-chemical radical sources are present.
Yang Gao   +3 more
openaire   +1 more source

Study of the vibration of component cylindrical shells by the dynamic stiffness method

Soviet Applied Mechanics, 1983
The method described by \textit{V. A. Troitskij} [Dynamics and strength of machines, Leningr. Politekh. Inst., Trudy 210, 220-259 (1960)] for the dynamic design of rod systems is developed here for composite cylindrical shells with equations having constant coefficients within the section of interest and being integrable in quadratures.
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Explicit Numerical Methods for Solving Stiff Dynamical Systems

Journal of Computational and Nonlinear Dynamics, 2011
The precise integration method can give precise numerical result for linear invariant dynamical system, and can be used to solve stiff linear invariant dynamical system. In this paper, precise integration is compounded with Runge–Kutta method and a new effective integration method is presented for solving nonlinear stiff problems.
Suying Zhang, Jiangdan Li
openaire   +1 more source

Free vibration of sandwich beams using the dynamic stiffness method

Computers & Structures, 2003
Abstract The free vibration analysis of three-layered symmetric sandwich beams is carried out using the dynamic stiffness method. First the governing partial differential equations of motion in free natural vibration are derived using Hamilton’s principle.
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Buckling of Beams by Refined Theories and Dynamic Stiffness Method

Civil-Comp Proceedings, 2014
T his paper is concerned with linearized elastic buckling analysis of columns. The Carrera unified formulation (CUF) is used to formulate variable kinematics beam theories. According to the CUF, Taylor-like polynomials of order N are used to interpolate the cross-sectional displacement field.
PAGANI, ALFONSO   +2 more
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Vibration of loudspeaker cones using the dynamic stiffness method

Applied Acoustics, 1998
Abstract A dynamic stiffness method of analysis is presented for analysing the dynamic response of loudspeaker cones. This is achieved by deriving the equations of motion of a cone and solving them numerically using a RungeKutta analysis. The method has been verified by analysing straight-sided cones both at low and high frequency and comparing the ...
M. Petyt, P.N. Gélat
openaire   +1 more source

Second order mode-finding method in dynamic stiffness matrix methods

Journal of Sound and Vibration, 2004
Abstract This paper addresses the transcendental eigenvalue problem, which arises for those structures, e.g., frames, for which dynamic member stiffnesses are available and are exact, in the sense that the appropriate differential equations have been solved.
Si Yuan, Kangsheng Ye, F.W. Williams
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Identifying the dynamic compressive stiffness of a prospective biomimetic elastomer by an inverse method

Journal of the Mechanical Behavior of Biomedical Materials, 2012
Soft elastomeric materials that mimic real soft human tissues are sought to provide realistic experimental devices to simulate the human body's response to blast loading to aid the development of more effective protective equipment. The dynamic mechanical behavior of these materials is often measured using a Kolsky bar because it can achieve both the ...
Steven P, Mates   +6 more
openaire   +2 more sources

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