Determination of the Steady State Response of EFEF/VFVF Supported Rectangular Specially Orthotropic Plates

Altıntaş, Gökhan; Bağci, Muhiddin

doi:10.3390/mca11010051

Cited by 2 publications

(2 citation statements)

References 11 publications

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“…Aksu and Felemban (1992) and Aksu and Al-Kaabi (1987) used this technique for the free vibration analysis of plates. Using the similar technique, a forced vibration analysis of Kelvin-Voigt type viscoelastically supported plates were investigated by Altintas and Bagci (2004, Kocaturk and Altintas (2003a). The numerical method based on VDM by which the analyses have been carried out in this study is described briefly.…”

Section: Methodsmentioning

confidence: 99%

The Effects of Orthotropic Materials on the Vibration Characteristics of Structural Systems^#

Altıntaş

Göktepe²

2007

Mechanics Based Design of Structures and Machines

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The rapid growth in anisotropic material (such as composite materials) usage marks a new era in material science. Obviously, in order to understand the physical behavior of structural systems constituted by composite materials, several parameters, such as natural frequencies, mode shapes, and transmissiblities, must be incorporated into anisotropic elastic analyses. Orthotropy, as a special case of anisotropy, is common in almost all fields of civil and mechanical engineering. The objective of this effort is to investigate the effect of orthotropy on the behavior of vibrating plate systems near degenerate modes. A degenerate plate may be lack of geometric stability since the plate may exhibit a qualitatively different behavior under an arbitrarily small change in special parameters. The special parameters considered in this study are orthotropy and the location of additional mass, which have the effect of removing the system symmetry. The method, which depends on a variational procedure in conjunction with a finite difference method, is employed to examine free vibration characteristics as well as to characterize steady state response to a sinusoidally varying force applied to orthotrophic elastic rectangular plate. The problem is reduced to the solution of a system consisting of algebraic equations by using the variational difference method (VDM). In order to sort the effect of orthotropy on the vibration behavior from other factors, locations of external force, and mass are treated as additional parameters 364 Altintas and Goktepe in the analyses. Furthermore, supports are constituted as elastic so as to be able to obtain force transmissibility curves. Finally, plate systems having two different boundary conditions, namely elastically supported and elastically point supported, are utilized to observe the generalization of the outcomes. Results reveal that in case of material orthotropy existence in a plate system, there are several keynote issues that must be taken into account in vibration analyses, which are not important under isotropic conditions. Obviously, these effects are of theoretical importance and should be considered in practical applications.

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Section: Methodsmentioning

confidence: 99%

The Effects of Orthotropic Materials on the Vibration Characteristics of Structural Systems^#

Altıntaş

Göktepe²

2007

Mechanics Based Design of Structures and Machines

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“…Aksu and Felemban (1992) and Aksu and Al-Kaabi (1987) used this technique for the free vibration analysis of plates. Using the similar technique, Altintas and Bagci (2004, 2005, 2006 and Kocatürk and Altintas (2003) investigated a forced vibration analysis of Kelvin-Voigt type viscoelastically supported plates.…”

Section: Methodsmentioning

confidence: 99%

Effect of Mass Based Imperfections on Behavior of Linear Vibrating Plates Near Degenerate Modes

Altıntaş

2009

Journal of Vibration and Control

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The principal objective in this study is to investigate the special behaviors of linear vibrating plates with special parameters near degenerate modes. Near degenerate modes, plates may lack geometric stability because they exhibit a qualitatively different behavior under an arbitrarily small change in special parameters. The special parameters considered in this study are the location and quantity of an additional mass, which have an effect on removing the system symmetry. To this end, analyses are carried out for three plate systems with each having different boundary conditions. The effect of the location and the quantity of additional mass on degenerate modes are significantly different from those of other mode types. Clearly, these effects are of theoretical importance and should be taken into consideration in practical applications. With the view of the deterministic approach, it can be stated that the study determines some unspecified parts of forced vibration behaviors of mass loaded plates.

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Determination of the Steady State Response of EFEF/VFVF Supported Rectangular Specially Orthotropic Plates

Cited by 2 publications

References 11 publications

The Effects of Orthotropic Materials on the Vibration Characteristics of Structural Systems^#

The Effects of Orthotropic Materials on the Vibration Characteristics of Structural Systems^#

Effect of Mass Based Imperfections on Behavior of Linear Vibrating Plates Near Degenerate Modes

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Determination of the Steady State Response of EFEF/VFVF Supported Rectangular Specially Orthotropic Plates

Cited by 2 publications

References 11 publications

The Effects of Orthotropic Materials on the Vibration Characteristics of Structural Systems#

The Effects of Orthotropic Materials on the Vibration Characteristics of Structural Systems#

Effect of Mass Based Imperfections on Behavior of Linear Vibrating Plates Near Degenerate Modes

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Product

Resources

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The Effects of Orthotropic Materials on the Vibration Characteristics of Structural Systems^#

The Effects of Orthotropic Materials on the Vibration Characteristics of Structural Systems^#