Elastic and viscoelastic response of heterogeneous annular structures under arbitrary transient pressure

Temel, Beytullah; Yıldırım, Sefa; Tütüncü, Naki

doi:10.1016/j.ijmecsci.2014.08.021

Cited by 31 publications

(13 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…where P(t) represents load functions applied to the free end of the rod. Four different types of loading functions have been applied to the system: step, sinusoidal impulsive, arbitrary and ramped [16,21]. If Laplace transformation is applied to Equation (1) by using initial conditions (2a), the following ordinary differential equation is obtained…”

Section: Methodsmentioning

confidence: 99%

A Practical Method for the Dynamic Analysis of Non-Uniform Piezoelectric Rod

Yarımpabuç

Eker

Çelebi

2019

Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi

View full text Add to dashboard Cite

In this paper, a unified approach for the dynamic analysis of non-uniform piezoelectric rod is presented. It is assumed that the cross sectional area of the rod is varying along the longitudinal axis, arbitrarily. Therefore, the partial differential equations that govern the non-uniform piezoelectric isotropic rod in a forced vibration analysis are obtained with a variable coefficient taking into account mechanical and electrostatic equations. Analytical solutions of these equations are only possible for simple crosssection areas. First, the governing equations are transformed to the Laplace space and then solved numerically by pseudospectral Chebyshev approach for arbitrary cross-section area under four different load functions. The final results are transformed to the time domain using modified Durbin's procedure. The technique is validated for simple cross-section area results that can also be solved analytically.

show abstract

Section: Methodsmentioning

confidence: 99%

A Practical Method for the Dynamic Analysis of Non-Uniform Piezoelectric Rod

Yarımpabuç

Eker

Çelebi

2019

Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi

View full text Add to dashboard Cite

show abstract

“…where P t h represents the load functions ( Figure 2) applied to the end of the rod (Temel et al, 2014). Taking Laplace transform of Equation 1with zero initial conditions…”

Section: Methodsmentioning

confidence: 99%

“…The CFM, theoretically explained in the literature by Aktaş (1972), Agarwal (1982), Roberts and Shipman (1979), and Temel (2009, 2013) is infused into analysis to transform the boundary value problem to a system of an initial-value problem, which can be easily solved by a fifth order Runge-Kutta method (RK5) with great accuracy (Chapra 1998). Durbin's Laplace inversion procedure that has been evinced to be an efficient and accurate inversion method is used to get the results in the time domain (Temel et al 2014). The numerical and analytical results for a uniform piezoelectric rod are compared in order to show the accuracy of the method.…”

mentioning

confidence: 99%

Forced Vibration Analysis of Non-Uniform Piezoelectric Rod by Complementary Functions Method

2018

KSEJ

View full text Add to dashboard Cite

Piezoelectric materials, which have fast response and low energy usage features, are widely used in sensors and actuators. Due to the active role of their working principle, it is important to know the vibration characteristic of each piezoelectric material. In this paper, forced vibration analysis of arbitrary non-uniform piezoelectric rod has been performed. The governing differential equations have variable coefficients which are functions of mechanical and electrostatic properties. Analytical solution of these linear differential equations is limited to specific cross-section area models, so numerical method is inevitable. Numerical model of the forced vibration of cantilever piezoelectric (PZT-4) rod with an arbitrary non-uniform cross-section area is obtained in the Laplace space and then solved numerically by Complementary Functions Method (CFM). Solutions were transformed from Laplace domain to the time domain by applying modified Durbin’s procedure. The technique is validated for a uniform piezoelectric rod that can also be solved analytically. In order to demonstrate the effect of arbitrary geometry on the dynamic feature of the rod, numerical examples are employed.

show abstract

“…This gradual/continuous change in material properties aims excludes the interfacial issue due to quick change in material constants at the interfaces of different phases [33]. They have been progressively utilized in aerospace/automotive industries to produce critical parts/components [34][35][36].…”

Section: Electronic Supplementary Materialsmentioning

confidence: 99%

On the vibrational responses of thin FGM tubes subjected to internal sequential moving pressure

Malekan

Khosravi

Zanin

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

Dynamic load in tubes due to detonation has plenty of applications such as the oil pipeline system and pulse detonation engine. Various experimental, analytical, and numerical investigations have been made to study the elastic-dynamic behaviors of tubes under internal moving pressure, with few studies dedicated to elastic-plastic analysis of this kind of problem. The investigation of elastic-plastic response of a tube made of homogeneous and nonhomogeneous (functionally graded material-FGM) materials subjected to the internal moving pressure (gaseous detonation) is the specific objective of this study. FGM is a newly well-established type of composite materials that its material contents are varying gradually along a user-defined direction. In this work, the effect of non-homogeneity on the vibrational response of the tube was studied using an axisymmetric FE model, which developed by Abaqus ® commercial package accompanied by VUMAT, VDLOAD, and VUSDFLD user-written subroutines. Different detonation load velocities were considered based on the tube material properties, i.e., according to the critical velocities. The presented results showed that the variation of stress/strain fields against time was affected by the gradation of FGM material. In addition, FGM material can help to withstand against the detonation loads, specifically when there are multiple sequential detonations or a high-pressure detonation load.

show abstract

Elastic and viscoelastic response of heterogeneous annular structures under arbitrary transient pressure

Cited by 31 publications

References 29 publications

A Practical Method for the Dynamic Analysis of Non-Uniform Piezoelectric Rod

A Practical Method for the Dynamic Analysis of Non-Uniform Piezoelectric Rod

Forced Vibration Analysis of Non-Uniform Piezoelectric Rod by Complementary Functions Method

On the vibrational responses of thin FGM tubes subjected to internal sequential moving pressure

Contact Info

Product

Resources

About