The stress field problem for a pre-stressed plate-strip with finite length under the action of arbitrary time-harmonic forces

Eröz, Mustafa

doi:10.1016/j.apm.2011.12.058

Cited by 9 publications

(5 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then some special cases in the analyses of the different types of dependent variables within the problem are discussed. It is also shown that the numerical results obtained in the present paper converge to the values in [11][12][13] for those which are the certain special cases.…”

supporting

confidence: 63%

“…Moreover, the method cannot be applied in such cases. Hence in [11][12][13], the time-harmonic stress field problem in the pre-stressed bi-layered slab with finite length resting on a rigid foundation, the time-harmonic dynamical stress field problem for the pre-stressed plate-strip with finite length resting on a rigid foundation and the dynamical stress field problem for the pre-stressed plate- Consequently, an investigation on the case in which the arbitrary inclined lineal located time-harmonic force on the free face plane of a body consisting of two layers is applied has not been carried out so far. Considering this expression, the first attempt is made in this field.…”

mentioning

confidence: 98%

See 1 more Smart Citation

Mathematical Modeling of Dynamical Stress Field Problem for a Pre-stressed Bi-layered Plate-Strip

Daşdemir

Eröz

2014

Bull. Malays. Math. Sci. Soc.

Self Cite

View full text Add to dashboard Cite

According to the principle of the three-dimensional linearized theory of elastic waves in initially stressed bodies, a dynamical stress field in a pre-stressed bi-layered plate-strip under the action of an arbitrary inclined force resting on a rigid foundation is studied. It is assumed that the force applied to upper free surface of the plate-strip is time-harmonic and the materials used are linearly elastic, homogenous, and isotropic. By employing finite element method, the governing system of partial differential equations of motion is approximately solved. The different dependencies of the problem such as the ratio of height of plates and initial stress of the materials are numerically investigated. Particularly the effect of arbitrary inclined force is analyzed. It is observed that the numerical results obtained according to various angles converge to the ones in the previous studies.

show abstract

supporting

confidence: 63%

mentioning

confidence: 98%

Mathematical Modeling of Dynamical Stress Field Problem for a Pre-stressed Bi-layered Plate-Strip

Daşdemir

Eröz

2014

Bull. Malays. Math. Sci. Soc.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The numerical calculations are done by using the FEM. The problems studied by Akbarov et al [1,2,3,6,7] are special cases of the current problem. Therefore, the findings presented in this paper can also be regarded as a development of the aforementioned papers, because imperfect contact conditions between the layers of the plate-strip for both the shear-and normal-spring types are satisfied.…”

Section: Introductionmentioning

confidence: 96%

“…By analysis of this research, it is clear that the problems under consideration have complex structures. The forced vibration of a pre-stressed plate-strip with finite length resting on a rigid foundation under a timeharmonic force has been comprehensively studied employing the finite element method (FEM) by Akbarov et al [2] (for plate-strip subjected to a perpendicular force) and [1] (for bi-layered plate-strip subjected to a perpendicular force), Eröz [7] for plate-strip subjected to an inclined force), Akbarov et al [3] (for bi-layered plate-strip with shear-spring interface), and Daşdemir and Eröz [7] (for bi-layered plate-strip subjected to an inclined force).…”

Section: Introductionmentioning

confidence: 99%

A Spring-Layer Model for a Bi-Layered Plate-Strip with Initial Stress Through Imperfect Contact Interface

Daşdemir¹

2019

Sound&Vibration

View full text Add to dashboard Cite

In this paper, we present our report on the forced vibration of a bilayered plate-strip with initial stress resting on a rigid foundation induced by a time-harmonic force. The investigation is carried out according to the piecewise homogeneous body model with utilizing the three-dimensional linearized theory of elastic waves in initially stressed bodies (TLTEWISB). The materials of the body are chosen to be linearly elastic, homogeneous, and isotropic. The interface between the layers is assumed to be imperfect, and is simulated by the springlayer model. A similar degree of imperfection on the interface is realized in the normal and tangential directions. The mathematical model for the problem under consideration is designed, and the system of the equations of motion is approximately solved by employing the finite element method (FEM). The numerical results explaining the influence of the parameter that characterizes the degree of corresponding imperfectness on the dynamic response of the plate-strip are presented. In particular, we demonstrate that the distributions of the normal stress become flat, as the normal-spring parameter increases.

show abstract

“…15 (for plate-strip subjected to a perpendicular force), Akbarov et al. 16 (for bi-layered plate-strip subjected to a perpendicular force), Eröz 17 (for plate-strip subjected to an inclined force), and Daşdemir and Eröz 18 (for bi-layered plate-strip subjected to an inclined force). However, Daşdemir and Eröz only investigated the influence of the initial tension on the problem parameters.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of a bi-axially pre-stressed bi-layered plate resting on a rigid foundation under a harmonic force

Daşdemir

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

This study aims to investigate the forced vibrations caused by a time-harmonic force from a pre-stressed bi-layered plate resting on a rigid foundation under the action of a time-harmonic pointwise loading. Our investigation was conducted according to a piecewise homogeneous body model utilizing the three-dimensional linearized theory of elastic waves in initially stressed bodies. Throughout this study, we assumed that there is complete contact between the plate and the rigid foundation. The purpose of this study is threefold: the development of a mathematical model to investigate the dynamic response of the pre-stressed bi-layered plate, the analysis of the frequency response of the plate under consideration, and finally, demonstrating the relationship between the initial stress and the dimensionless frequency of the plate. We solved the mathematical model by employing the finite element method. We present our numerical results on the dynamic behavior of the plate. In particular, we have shown that an increase in the values of the aspect ratio of a plate under fixed thickness leads to a decrease in the normal stress resonance values.

show abstract

The stress field problem for a pre-stressed plate-strip with finite length under the action of arbitrary time-harmonic forces

Cited by 9 publications

References 14 publications

Mathematical Modeling of Dynamical Stress Field Problem for a Pre-stressed Bi-layered Plate-Strip

Mathematical Modeling of Dynamical Stress Field Problem for a Pre-stressed Bi-layered Plate-Strip

A Spring-Layer Model for a Bi-Layered Plate-Strip with Initial Stress Through Imperfect Contact Interface

Dynamic response of a bi-axially pre-stressed bi-layered plate resting on a rigid foundation under a harmonic force

Contact Info

Product

Resources

About