Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

Tamás Pölöskei, András Szekrényes

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The static and dynamic stability of the composite beam with a single delamination are investigated using the Timoshenko beam theory. The mechanical model is discretized using the finite element method and the equation of motion is obtained using Hamilton's principle. The coefficients of the mass and stiffness matrix for the damping matrix are determined using experimental modal analysis. The effect of harmonic excitation on the dynamic stability of a single delaminated composite beam is investigated using Bolotin's harmonic balance method. The stability boundaries of the damped and undamped system are compared for different static load values and delamination lengths on the excitation frequency-excitation force amplitude parameter field.

Original languageEnglish
Article number2674813
JournalMathematical Problems in Engineering
Volume2018
DOIs
Publication statusPublished - Jan 1 2018

Fingerprint

Damped
Composite Beams
Excitation
Delamination
Higher Order
Harmonic Balance
Hamilton's Principle
Timoshenko Beam
Modal Analysis
Composite materials
Stiffness matrix
Experimental Analysis
Modal analysis
Stiffness Matrix
Equations of motion
Equations of Motion
Damping
Harmonic
Finite Element Method
Finite element method

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory. / Pölöskei, Tamás; Szekrényes, András.

In: Mathematical Problems in Engineering, Vol. 2018, 2674813, 01.01.2018.

Research output: Contribution to journalArticle

@article{c3c8496be9b244f99d11f9b378e10de9,
title = "Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory",
abstract = "The static and dynamic stability of the composite beam with a single delamination are investigated using the Timoshenko beam theory. The mechanical model is discretized using the finite element method and the equation of motion is obtained using Hamilton's principle. The coefficients of the mass and stiffness matrix for the damping matrix are determined using experimental modal analysis. The effect of harmonic excitation on the dynamic stability of a single delaminated composite beam is investigated using Bolotin's harmonic balance method. The stability boundaries of the damped and undamped system are compared for different static load values and delamination lengths on the excitation frequency-excitation force amplitude parameter field.",
author = "Tam{\'a}s P{\"o}l{\"o}skei and Andr{\'a}s Szekr{\'e}nyes",
year = "2018",
month = "1",
day = "1",
doi = "10.1155/2018/2674813",
language = "English",
volume = "2018",
journal = "Mathematical Problems in Engineering",
issn = "1024-123X",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Dynamic Stability of a Structurally Damped Delaminated Beam Using Higher Order Theory

AU - Pölöskei, Tamás

AU - Szekrényes, András

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The static and dynamic stability of the composite beam with a single delamination are investigated using the Timoshenko beam theory. The mechanical model is discretized using the finite element method and the equation of motion is obtained using Hamilton's principle. The coefficients of the mass and stiffness matrix for the damping matrix are determined using experimental modal analysis. The effect of harmonic excitation on the dynamic stability of a single delaminated composite beam is investigated using Bolotin's harmonic balance method. The stability boundaries of the damped and undamped system are compared for different static load values and delamination lengths on the excitation frequency-excitation force amplitude parameter field.

AB - The static and dynamic stability of the composite beam with a single delamination are investigated using the Timoshenko beam theory. The mechanical model is discretized using the finite element method and the equation of motion is obtained using Hamilton's principle. The coefficients of the mass and stiffness matrix for the damping matrix are determined using experimental modal analysis. The effect of harmonic excitation on the dynamic stability of a single delaminated composite beam is investigated using Bolotin's harmonic balance method. The stability boundaries of the damped and undamped system are compared for different static load values and delamination lengths on the excitation frequency-excitation force amplitude parameter field.

UR - http://www.scopus.com/inward/record.url?scp=85049087111&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049087111&partnerID=8YFLogxK

U2 - 10.1155/2018/2674813

DO - 10.1155/2018/2674813

M3 - Article

AN - SCOPUS:85049087111

VL - 2018

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

SN - 1024-123X

M1 - 2674813

ER -