Full beam formulation of a rotating beam-mass system

B. Fallahi, Steven Hsin-Yi Lai, R. Gupta

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

In this study a comprehensive approach for modeling flexibility for a beam with tip mass is presented. The method utilizes a Timoshenko beam with geometric stiffening. The element matrices are reported as the integral of the product of shape functions. This enhances their utility due to their generic form. They are utilized in a symbolicbased algorithm for the automatic generation of the element matrices. The timedependent terms are factored after assembly for better computational implementation. The effect of speed and tip mass on cross coupling between the elastic and rigid body motions represented by Coriolis, normal and tangential accelerations is investigated. The nonlinear term (geometric stiffening) is modeled by introducing a tensor which plays the same role as element matrices for the linear terms. This led to formulation of the exact tangent matrix needed to solve the nonlinear differential equation.

Original languageEnglish
Pages (from-to)93-99
Number of pages7
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume116
Issue number1
DOIs
Publication statusPublished - 1994 Jan 1

Fingerprint

formulations
stiffening
matrices
Timoshenko beams
elastic bodies
shape functions
cross coupling
rigid structures
tangents
Tensors
flexibility
Differential equations
differential equations
assembly
tensors
products

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

@article{79e4d05c38984b7ca239b78a979b6cc4,
title = "Full beam formulation of a rotating beam-mass system",
abstract = "In this study a comprehensive approach for modeling flexibility for a beam with tip mass is presented. The method utilizes a Timoshenko beam with geometric stiffening. The element matrices are reported as the integral of the product of shape functions. This enhances their utility due to their generic form. They are utilized in a symbolicbased algorithm for the automatic generation of the element matrices. The timedependent terms are factored after assembly for better computational implementation. The effect of speed and tip mass on cross coupling between the elastic and rigid body motions represented by Coriolis, normal and tangential accelerations is investigated. The nonlinear term (geometric stiffening) is modeled by introducing a tensor which plays the same role as element matrices for the linear terms. This led to formulation of the exact tangent matrix needed to solve the nonlinear differential equation.",
author = "B. Fallahi and Lai, {Steven Hsin-Yi} and R. Gupta",
year = "1994",
month = "1",
day = "1",
doi = "10.1115/1.2930403",
language = "English",
volume = "116",
pages = "93--99",
journal = "Journal of Vibration and Acoustics, Transactions of the ASME",
issn = "1048-9002",
publisher = "American Society of Mechanical Engineers(ASME)",
number = "1",

}

Full beam formulation of a rotating beam-mass system. / Fallahi, B.; Lai, Steven Hsin-Yi; Gupta, R.

In: Journal of Vibration and Acoustics, Transactions of the ASME, Vol. 116, No. 1, 01.01.1994, p. 93-99.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Full beam formulation of a rotating beam-mass system

AU - Fallahi, B.

AU - Lai, Steven Hsin-Yi

AU - Gupta, R.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - In this study a comprehensive approach for modeling flexibility for a beam with tip mass is presented. The method utilizes a Timoshenko beam with geometric stiffening. The element matrices are reported as the integral of the product of shape functions. This enhances their utility due to their generic form. They are utilized in a symbolicbased algorithm for the automatic generation of the element matrices. The timedependent terms are factored after assembly for better computational implementation. The effect of speed and tip mass on cross coupling between the elastic and rigid body motions represented by Coriolis, normal and tangential accelerations is investigated. The nonlinear term (geometric stiffening) is modeled by introducing a tensor which plays the same role as element matrices for the linear terms. This led to formulation of the exact tangent matrix needed to solve the nonlinear differential equation.

AB - In this study a comprehensive approach for modeling flexibility for a beam with tip mass is presented. The method utilizes a Timoshenko beam with geometric stiffening. The element matrices are reported as the integral of the product of shape functions. This enhances their utility due to their generic form. They are utilized in a symbolicbased algorithm for the automatic generation of the element matrices. The timedependent terms are factored after assembly for better computational implementation. The effect of speed and tip mass on cross coupling between the elastic and rigid body motions represented by Coriolis, normal and tangential accelerations is investigated. The nonlinear term (geometric stiffening) is modeled by introducing a tensor which plays the same role as element matrices for the linear terms. This led to formulation of the exact tangent matrix needed to solve the nonlinear differential equation.

UR - http://www.scopus.com/inward/record.url?scp=0028199366&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028199366&partnerID=8YFLogxK

U2 - 10.1115/1.2930403

DO - 10.1115/1.2930403

M3 - Article

VL - 116

SP - 93

EP - 99

JO - Journal of Vibration and Acoustics, Transactions of the ASME

JF - Journal of Vibration and Acoustics, Transactions of the ASME

SN - 1048-9002

IS - 1

ER -