Multibody structural dynamics including translation between the bodies

Huston, Ronald L.; Passerello, C. E.

doi:10.1016/0045-7949(80)90173-x

Cited by 62 publications

(11 citation statements)

References 21 publications

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“…In Kane's method (Kane and Levison, 1985 ;Kamman and Huston, 1984;Huston et a!., 1978 ;Huston and Passerello, 1979;1980;Amirouche, 1992 ;Park et a!., 1997), generalized coordinates (which mean the necessary and sufficient coordinates to describe the system of concern in this study) are usually employed to derive the EOM. Since the generalized coordinates are the fewest number of coordinates that are necessary to describe the system, the equation formulation using the generalized coordinates is computationally more efficient than any other formulations.…”

Section: Conventional Methodsmentioning

confidence: 99%

Computational method for dynamic analysis of constrained mechanical systems using partial velocity matrix transformation

Park

Yoo

Hwang³

2000

KSME International Journal

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A computational method for the dynamic analysis of a constrained mechanical system is presented in this paper. The partial velocity matrix, which is the null space of the Jacobian of the constraint equations, is used as the key ingredient for the derivation of reduced equations of motion. The acceleration constraint equations are solved simultaneously with the equations of motion. Thus, the total number of equations to be integrated is equivalent to that of the pseudo generalized coordinates, which denote all the variables employed to describe the configuration of the system of concern. Two well-known conventional methods are briefly introduced and compared with the present method. Three numerical examples are solved to demonstrate the solution accuracy, the computational efficiency, and the numerical stability of the present method.

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Section: Conventional Methodsmentioning

confidence: 99%

Computational method for dynamic analysis of constrained mechanical systems using partial velocity matrix transformation

Park

Yoo

Hwang³

2000

KSME International Journal

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“…Discrete parameter models include those due to Schultz and Galante (90), Belytschko et al (7,8), Huston (51), and Goldsmith et al (34). In two-dimensional simulations, Reber and Goldsmith (86) computed stresses on soft tissue and loads on the vertebrae and determined the areas of most likely damage under particular loading conditions.…”

Section: Mathematical Modelsmentioning

confidence: 99%

Cervical spine biomechanics: A review of the literature

Huelke¹,

Nusholtz²

1986

Journal Orthopaedic Research

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This article reviews the many clinical and laboratory investigative research reports on the frequency, causes, and biomechanics of human cervical spine impact injuries and tolerances. Neck injury mechanisms have been hypothesized from clinically observed cervical spine injuries without laboratory verification. However, many of the laboratory experiments used static loading techniques of cervical spine segments. Only recently have dynamic impact studies been conducted. Results indicate that crown-of-head impacts can routinely produce compression of the neck with extension or flexion motion. However, the two-dimensional (midsagittal) movement of the head bowing into the chest does not routinely produce flexion/compression type damage to the cervical spine. Flexion/compression damage to the cervical spine can be produced by prepositioning the subject so that upon impact, a three-dimensional motion of the head and neck occurs. Future laboratory research is needed to determine the forces and impact directions required to produce the various known fracture types and dislocations for a clear, accurate description of the cervical spine impact dynamics.

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“…The dynamic behaviour of mechanical systems such as mechanisms, multibody spacecrafts, robot manipulators, complex items of scientific equipment and, to some extent the human body, can be modelled by rigid bodies (Huston andPassarello 1979, 1980). Several methods are available for the analysis of such systems.…”

Section: Introductionmentioning

confidence: 99%

A general efficient approach to dynamic analysis of interconnected mechanical systems using the theory of connections

Wang

Bjørket

1994

International Journal of Systems Science

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A general efficient approach to dynamic analysis of interconnected mechanical systems using the theory of connections KESHENG WANGt and 0YVIND BJ0RKEtThis paper presents a new formulation for equations of motion of interconnected mechanical systems. This formulation is based on the Theory of Connections, or Manufacturing Systems Theory, developed by Bjerke, which has been used to solve a great number of practical problems in engineering and economics by employing the same procedure and its small items of software. This paper shows that, given the equations of motion for the individual elements in a mechanical system (primitive systems), and the interconnection equations, i.e. the transformation objects (interconnection system), then the equations of motion for the interconnected mechanical system can be generated by simple straightforward procedure. Three transformation objects: the displacement-object DA, the velocity-object VA, and the acceleration-object AA, which relate the generalized coordinates to cartesian coordinates, have played a very important role in developing the equations of motion. By focusing attention on the behaviour of individual elements and the connections between these elements, the analyst is given a general and efficient approach. A simple example is used to demonstrate the generality and efficiency of this approach for formulating and solving equations of motion in detail.

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Multibody structural dynamics including translation between the bodies

Cited by 62 publications

References 21 publications

Computational method for dynamic analysis of constrained mechanical systems using partial velocity matrix transformation

Computational method for dynamic analysis of constrained mechanical systems using partial velocity matrix transformation

Cervical spine biomechanics: A review of the literature

A general efficient approach to dynamic analysis of interconnected mechanical systems using the theory of connections

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