Steady State Response of Viscoelastically Corner Point-Supported Generally Orthotropic Rectangular Plates under the Effect of Sinusoidally Varying Moment

Turgut KOCATÜRK

Makale detayları

Steady State Response of Viscoelastically Corner Point-Supported Generally Orthotropic Rectangular Plates under the Effect of Sinusoidally Varying Moment

Yazarlar:

Turgut KOCATÜRK

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Engineering and Environmental Sciences 2005 Vol.29 Issue 6, pp.331-341

Belge Tipi:

Makale

Yayın Tarihi:

5/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000745037

Sıklık:

Üç Yıllık

eISSN:

1303-6157

pISSN:

1300-0160

Özet:

 

The vibration of generally orthotropic rectangular elastic  plates having viscoelastic point supports at the corners is analyzed.   Lagrange's equations are used to examine the free vibration  characteristics and steady state response to a sinusoidally varying  moment affecting the center of a viscoelastically point-supported,  generally orthotropic elastic plate of rectangular shape.  For  applying the Lagrange's equations, the trial function denoting the  deflection of the plate is expressed in polynomial form.  By using the  Lagrange's equations, the problem is reduced to the solution of a  system of algebraic equations.  The influence of the off-axis angle,  of the mechanical properties, and of the damping of the supports to  the steady state response of the viscoelastically point-supported  rectangular plates is investigated numerically for a concentrated  moment at the center for various values of the mechanical properties  characterizing the anisotropy of the plate material, for various  off-axis angles and for various damping of supports for a given  stiffness of supports.  The results are given for the considered  frequency range of the external periodical moment.  Convergence  studies are performed.  The validity of the results obtained is  demonstrated by comparing them with the solutions of specially  orthotropic plates based on the Kirchhoff-Love plate theory.

 

The vibration of generally orthotropic rectangular elastic  plates having viscoelastic point supports at the corners is analyzed.   Lagrange's equations are used to examine the free vibration  characteristics and steady state response to a sinusoidally varying  moment affecting the center of a viscoelastically point-supported,  generally orthotropic elastic plate of rectangular shape.  For  applying the Lagrange's equations, the trial function denoting the  deflection of the plate is expressed in polynomial form.  By using the  Lagrange's equations, the problem is reduced to the solution of a  system of algebraic equations.  The influence of the off-axis angle,  of the mechanical properties, and of the damping of the supports to  the steady state response of the viscoelastically point-supported  rectangular plates is investigated numerically for a concentrated  moment at the center for various values of the mechanical properties  characterizing the anisotropy of the plate material, for various  off-axis angles and for various damping of supports for a given  stiffness of supports.  The results are given for the considered  frequency range of the external periodical moment.  Convergence  studies are performed.  The validity of the results obtained is  demonstrated by comparing them with the solutions of specially  orthotropic plates based on the Kirchhoff-Love plate theory.

Makale detayları

Steady State Response of Viscoelastically Corner Point-Supported Generally Orthotropic Rectangular Plates under the Effect of Sinusoidally Varying Moment

Yazarlar: Turgut KOCATÜRK

Yayıncı: TUBITAK

Dergi: Turkish Journal of Engineering and Environmental Sciences 2005 Vol.29 Issue 6, pp.331-341

Belge Tipi: Makale

Yayın Tarihi: 5/2005

Belge Dili: Türkçe

Document ID (Org No.): 2000745037

Sıklık: Üç Yıllık

eISSN: 1303-6157

pISSN: 1300-0160

Sayı

Yazarlar:

Turgut KOCATÜRK

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Engineering and Environmental Sciences 2005 Vol.29 Issue 6, pp.331-341

Belge Tipi:

Makale

Yayın Tarihi:

5/2005

Belge Dili:

Türkçe

Document ID (Org No.):

2000745037

Sıklık:

Üç Yıllık

eISSN:

1303-6157

pISSN:

1300-0160