Results 171 to 180 of about 25,993 (225)
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Journal of Applied Mechanics, 1983
Based on a large literature and with the help of some typical examples, the authors show that in many situations it is better to use the various virtual work principles for multibody problems. The Lagrange equations have several disadvantages when they are used for a multibody computer program (time consuming, difficult to accomplish without error a.s ...
Kane, T. R., Levinson, D. A.
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Based on a large literature and with the help of some typical examples, the authors show that in many situations it is better to use the various virtual work principles for multibody problems. The Lagrange equations have several disadvantages when they are used for a multibody computer program (time consuming, difficult to accomplish without error a.s ...
Kane, T. R., Levinson, D. A.
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Nonholonomic Multibody Dynamics
Multibody System Dynamics, 2003In the first part of the article the authors discuss some ideas for developing a unified geometric basis for modeling, simulation and control of nonholonomic multibody systems. In classical tensor notation they describe the setting up of equations of motion for multibody systems, the inclusion of constraints and the relation between nonholonomy and ...
Kielau, Gerald, Maißer, Peter
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Multibody dynamics in acoustophoresis
The Journal of the Acoustical Society of America, 2017Determining the trajectories of multiple acoustically and hydrodynamically interacting as well as colliding particles is one of the challenges in numerical acoustophoresis. Although the acoustic forces between multiple small spherical particles can be obtained analytically, previous research did not address the particle-particle contacts in a rigorous ...
Thierry, Baasch +2 more
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2020
Dynamic modeling of parallel manipulators is usually grouped into three main modeling approaches, i.e., the Lagrangian formulation, the Newton–Euler equations and the principle of virtual work. This sections firstly introduced the general modeling procedure and principles of the previous approaches in detail.
Guanglei Wu, Huiping Shen
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Dynamic modeling of parallel manipulators is usually grouped into three main modeling approaches, i.e., the Lagrangian formulation, the Newton–Euler equations and the principle of virtual work. This sections firstly introduced the general modeling procedure and principles of the previous approaches in detail.
Guanglei Wu, Huiping Shen
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Dynamics of Constrained Multibody Systems
Journal of Applied Mechanics, 1984A new automated procedure for obtaining and solving the governing equations of motion of constrained multibody systems is presented. The procedure is applicable when the constraints are either (a) geometrical (for example, “closed-loops”) or (b) kinematical (for example, specified motion).
Kamman, J. W., Huston, R. L.
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Constrained Multibody Dynamics
1994This paper presents some techniques that may be used to obtain more efficient and general computer-based dynamics modeling and simulation algorithms with potential real-time applications. Constrained equations of motion are first formulated in an augmented differential-algebraic form using spatial Cartesian and joint coordinates.
R. A. Wehage, M. J. Belczynski
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2011
Part I: Basic tools and concepts: 1. Vectors and tensors.- 2. Coordinate Systems.- 3. Basic Principles.- 4. The Geometric Description of Rotation.- Part II: Rigid Body Dynamics: 5. Kinematics of Rigid Bodies.- 6. Kinetics of Rigid Bodies.- Part III: Concepts of Analytical Dynamics: 7. Basic Concepts of Analytical Dynamics.- 8.
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Part I: Basic tools and concepts: 1. Vectors and tensors.- 2. Coordinate Systems.- 3. Basic Principles.- 4. The Geometric Description of Rotation.- Part II: Rigid Body Dynamics: 5. Kinematics of Rigid Bodies.- 6. Kinetics of Rigid Bodies.- Part III: Concepts of Analytical Dynamics: 7. Basic Concepts of Analytical Dynamics.- 8.
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Dynamic Bifurcation of Multibody Systems
Nonlinear Dynamics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2013
In this chapter, we give an overview on the mathematical models for the dynamics of systems of rigid bodies. Depending on the choice of coordinates for the position and orientation of each body, the governing equations form either a system of ordinary differential equations or, if constraints are present, a system of differential-algebraic equations ...
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In this chapter, we give an overview on the mathematical models for the dynamics of systems of rigid bodies. Depending on the choice of coordinates for the position and orientation of each body, the governing equations form either a system of ordinary differential equations or, if constraints are present, a system of differential-algebraic equations ...
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2013
Flexible multibody systems contain both rigid and elastic components and aim at applications such as lightweight and high-precision mechanical systems where the elasticity of certain bodies needs to be taken into account. Since elastic bodies are governed by PDEs, as described in the previous chapter, and rigid bodies by ODEs or DAEs, the mathematical ...
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Flexible multibody systems contain both rigid and elastic components and aim at applications such as lightweight and high-precision mechanical systems where the elasticity of certain bodies needs to be taken into account. Since elastic bodies are governed by PDEs, as described in the previous chapter, and rigid bodies by ODEs or DAEs, the mathematical ...
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