DAMN - Digital Computer Program for the Dynamic Analysis of Generalized Mechanical Systems

Chace, Milton A.; Smith, Donald A.

doi:10.4271/710244

Cited by 33 publications

(13 citation statements)

References 2 publications

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“…In kinematic analysis, one of the first publications that used graph theory was due to Paul [13] who used the set of the independent circuits of the mechanism graph to derive the kinematic equations corresponding to the mechanism. A program to analyze velocities and forces, which was based on this method, has been reported by Chase and Smith [4]. Since then many papers using this representation have been published, for example Singhal and Kesavan [19] and others.…”

Section: Related Publicationsmentioning

confidence: 99%

The duality relation between mechanisms and trusses

Shai

2001

Mechanism and Machine Theory

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The work reported here was derived as a part of a research program aimed to investigate various discrete mathematical representations for a wide variety of engineering problems. For the results in this paper, the starting point was to represent trusses and mechanisms using graph theory and matroid theory, then using knowledge and algorithms embedded in these theories, to develop analysis methods and understanding of those two kinds of engineering systems.The research program was approached by searching for mathematical representations which may be useful for representing engineering problems. For each chosen representation, the attributes of the representation were mapped, or matched, to attributes of the engineering system considered. Properties and algorithms embedded within the representation were then applied to the corresponding attributes of the engineering system. In this way, new properties of the engineering system were found, together with new techniques to derive known properties. This paper deals exclusively with the representations applied to trusses and mechanisms.The paper first shows how plane axial force trusses and mechanisms can be represented as graphs and then analyzed using the language and algorithms of graph theory. These sections are based upon material, which has already been reported in the literature, but also include many new details in the solution methods.Having defined the dual of a planar graph, the paper shows that, in general, the graph representations of mechanisms and trusses are mathematically dual. From the perspective of this duality a number of classes of trusses and mechanisms can be defined. The duality is demonstrated for the plane statically determinate trusses, and for its corresponding class of mechanisms.This direction of investigation enhances understanding of the connection between static and kinematic systems, and enables utilization of knowledge from one field to solve problems in the other.

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Section: Related Publicationsmentioning

confidence: 99%

The duality relation between mechanisms and trusses

Shai

2001

Mechanism and Machine Theory

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“…The velocity of the ith body is represented by three translational and three rotational Cartesian velocity components yi= h^<^/]^(6xl) (2)(3)(4)(5)(6)(7)(8)(9)(10) where the relationships between and the Euler parameters, p^, are given by [17] U)i = 2EiPi Pi = 2%^*:…”

Section: Rigid Body Motion In Cartesian Coordinatesmentioning

confidence: 99%

“…Multibody formalisms were developed with the emergence of space technology [2,3] and parallelled the efforts of researchers working in the machines and mechanisms areas [4,5,6].…”

Section: Introductionmentioning

confidence: 99%

Automated Linearization of Nonlinear Coupled Differential and Algebraic Equations

Trom

Vanderploeg

1994

Journal of Mechanical Design

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The most advanced technology has been used to photograph and reproduce this manuscript from the microfilm master. UMI jSlms the text directly from the original or copy submitted. Thus, some thesis and dissertation copies are in typewriter face, while others may be from any type of computer printer.The quality of this reproduction is dependent upon the quality of the copy submitted. Broken or indistinct print, colored or poor quality illustrations and photographs, print bleedthrough, substandard margins, and improper alignment can adversely affect reproduction.In the unlikely event that the author did not send UMI a complete manuscript and there are missing pages, these will be noted. Also, if unauthorized copyright material had to be removed, a note will indicate the deletion.Oversize materials (e.g., maps, drawings, charts) are reproduced by sectioning the original, beginning at the upper left-hand corner and continuing from left to right in equal sections with small overlaps. Each original is also photographed in one exposure and is included in reduced form at the back of the book.

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“…This approach provides a mathematical representation of the connection of the rigid bodies. Wittenburg and others [1,3,6,23] have used graph theory to define the topological structure of mechanical systems.…”

Section: Graph Theorymentioning

confidence: 99%

“…With increasing computer power, a strategy evolved where the equations of motion are numerically generated at each time step during the numerical integration. Most of the general-purpose, multibody dynamic software packages in use today such as DRAM [1], ADAMS [2], IMP [3], and DADS [4,5] numerically generate equations of motion. The advantage of this method is that the computer can generate and solve any genered class of multibody systems and the engineer is not required to form the equations of mo tion.…”

Section: Information To Usersmentioning

confidence: 99%

A symbolic formulation for equations of motion of multibody systems

Lynch

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DAMN - Digital Computer Program for the Dynamic Analysis of Generalized Mechanical Systems

Cited by 33 publications

References 2 publications

The duality relation between mechanisms and trusses

The duality relation between mechanisms and trusses

Automated Linearization of Nonlinear Coupled Differential and Algebraic Equations

A symbolic formulation for equations of motion of multibody systems

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