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142984

The Possible Algebraic Solutions for Rough Collision in Three Dimensional Multibody Systems.

Article

Last updated: 04 Jan 2025

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Subjects

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Tags

Mathematics and Engineering Physics

Abstract

 The sliding direction of the collision point for single point rough collision in three dimensional multibody systems continuously swerves during collision period. Numerical integrations for the bi dimensional nonlinear differential equations of motion are usually required. It is proved that if sliding starts along one of a finite number of directions, called invariant directions, algebraic solutions can be obtained. The invariant directions are specified. All the possible dynamic scenarios for the motion of the collision point that starts with sliding along an invariant direction are enumerated and algebraic solutions are obtained. On the other hand, the conditions required to have the special case where the equations of motion have constant coefficients are defined and the algebraic solutions are determined. 

DOI

10.21608/bfemu.2021.142984

Keywords

Collision, multibody, Three Dimensional, Dynamics, Friction

Authors

First Name

Hesham

Last Name

Elkaranshawy

MiddleName

A.

Affiliation

Faculty of Engineering Alexandria University Alexandria., Egypt.

Email

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City

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Orcid

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Volume

27

Article Issue

3

Related Issue

21025

Issue Date

2002-09-01

Receive Date

2002-07-11

Publish Date

2021-09-01

Page Start

1

Page End

13

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 27_Issue 3_Pages 1-13.pdf

PDF . 568.8kB

Link

https://bfemu.journals.ekb.eg/article_142984.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=142984

Order

38

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

The Possible Algebraic Solutions for Rough Collision in Three Dimensional Multibody Systems.

Details

Type

Article

Created At

22 Jan 2023