scholarly journals Dynamics of a rotating hollow FGM beam in the temperature field

2021 ◽  
Vol 60 (1) ◽  
pp. 643-662
Author(s):  
Yaolun Wang ◽  
Chaofan Yang ◽  
Yongxin Zhang ◽  
Shipeng Dong ◽  
Liang Li
Keyword(s):  
Temperature Field ◽  
Thermal Protection ◽  
Coupling Effect ◽  
Circular Cross Section ◽  
Coupling Model ◽  
Functionally Graded ◽  
Dynamic Responses ◽  
Effect Of Temperature ◽  
Graded Material ◽  
Fgm Beam

Abstract Dynamic responses and vibration characteristics of a rotating functionally graded material (FGM) beam with a hollow circular cross-section in the temperature field are investigated in this paper. The material properties of the FGM beam are assumed to be temperature-dependent and vary along the thickness direction of the beam. By considering the rigid-flexible coupling effect, the geometrically nonlinear dynamic equations of a hub–FGM beam system are derived by employing the assumed modes method and Lagrange’s equations. With the high-order coupling dynamic model, the effect of temperature variations under two different laws of motion is discussed, and the free vibration of the system is studied based on the first-order approximate coupling model. This research can provide ideas for the design of space thermal protection mechanisms.

Analysis of nonlinear thermal dynamic responses of sandwich functionally graded cylindrical shells containing fluid

2017 ◽  
Vol 21 (6) ◽  
pp. 1953-1974
Author(s):  
Phu Van Khuc ◽  
Bich Huy Dao ◽  
Doan Xuan Le
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Cylindrical Shells ◽  
Nonlinear Dynamic Analysis ◽  
Functionally Graded ◽  
Dynamic Responses ◽  
Effect Of Temperature ◽  
Nonlinear Dynamic Equation ◽  
Graded Material ◽  
The Galerkin Method

Based on the classical shell theory, taking into account the nonlinear geometry of von Karman-Donnell, this article deals with the nonlinear dynamic analysis of Functionally Graded Material (Sandwich-FGM) cylindrical shells containing fluid under mechanical and thermal loads. By using the Galerkin method, the nonlinear dynamic equation is transformed into nonlinear differential equation in terms of time. The investigation of nonlinear dynamic response of sandwich-FGM cylindrical shells containing fluid is established. Numerical results show effect of temperature, fluid, geometric parameters of structure and material parameters (coefficient k) on the dynamic response of structure.

Effect of Temperature Gradient on the Mechanical Buckling Resistance of FGM Shallow Arches

2014 ◽  
Author(s):  
M. Bateni ◽  
M. R. Eslami
Keyword(s):  
Temperature Gradient ◽  
Thermal Environment ◽  
Mechanical Load ◽  
Functionally Graded ◽  
Effect Of Temperature ◽  
Power Law Distribution ◽  
Concentrated Load ◽  
Shallow Arches ◽  
Buckling Resistance ◽  
Graded Material

This work presents a closed form investigation on the effect of temperature gradient on the buckling resistance of functionally graded material (FGM) shallow arches. The constituents are assumed to vary smoothly through the thickness of the arch according to the power law distribution and they are assumed to be temperature dependent. The arches subjected to the both uniform distributed radial load and central concentrated load and both boundary supports are supposed to be pinned. The temperature field is approximated by one-dimensional linear gradient through the thickness of the arch and the displacement field approximated by classical arches model. Also, Donnell type kinematics is utilized to extract the suitable strain-displacement relations for shallow arches. Adjacent equilibrium criterion is used to buckling analysis, and, critical bifurcation load is obtain in the complete presence of pre-buckling deformations. Results discloses the usefulness of using the FGM shallow arches in thermal environment because the temperature gradient enhances the buckling resistance of these structures when they are subjected to a lateral mechanical load.

Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation

2013 ◽  
Vol 81 (1) ◽  
Author(s):  
S. E. Esfahani ◽  
Y. Kiani ◽  
M. Komijani ◽  
M. R. Eslami
Keyword(s):  
Elastic Foundation ◽  
Small Amplitude ◽  
Thermal Loading ◽  
Functionally Graded ◽  
Temperature Dependent ◽  
Graded Material ◽  
Fgm Beam ◽  
Generalized Differential ◽  
Nonlinear Hardening ◽  
Raphson Method

Small amplitude vibrations of a functionally graded material beam under in-plane thermal loading in the prebuckling and postbuckling regimes is studied in this paper. The material properties of the FGM media are considered as function of both position and temperature. A three parameters elastic foundation including the linear and nonlinear Winkler springs along with the Pasternak shear layer is in contact with beam in deformation, which acts in tension as well as in compression. The solution is sought in two regimes. The first one, a static phase with large amplitude response, and the second one, a dynamic regime near the static one with small amplitude. In both regimes, nonlinear governing equations are discretized using the generalized differential quadrature (GDQ) method and solved iteratively via the Newton–Raphson method. It is concluded that depending on the type of boundary condition and loading type, free vibration of a beam under in-plane thermal loading may reach zero at a certain temperature which indicates the existence of bifurcation type of instability.

scholarly journals FREQUENCY ANALYSIS OF CRACKED FUNCTIONALLY GRADED CANTILEVER BEAM

2017 ◽  
Vol 55 (2) ◽  
pp. 229
Author(s):  
Nguyen Ngoc Huyen ◽  
Nguyen Tien Khiem
Keyword(s):  
Cantilever Beam ◽  
Edge Crack ◽  
Natural Frequencies ◽  
Beam Theory ◽  
Frequency Equation ◽  
Functionally Graded ◽  
Neutral Axis ◽  
Open Crack ◽  
Graded Material ◽  
Fgm Beam

In this paper, a functionally graded cantilever beam with an open crack is investigated on the base of Timoshenko beam theory; power law of functionally graded material (FGM) and taking into account actual position of neutral axis instead of the central one. The open and edge crack is modeled by coupled translational and rotational springs stiffness of which is calculated by the formulas conducted accordingly to fracture mechanics. Using the frequency equation obtained in the framework of the theory natural frequencies of the beam are examined along the crack parameters and material properties. This analysis demonstrates that sensitivity of natural frequencies of FGM beam to crack is strongly dependent on the material constants of FGM

The Vibration and Modal Power Flow Analysis of a Functionally Graded Material Beam With an Open Crack

2019 ◽  
Author(s):  
Xiaotian Liang ◽  
Tianyun Li ◽  
Xing Heng ◽  
Xiaofang Hu ◽  
Xiang Zhu
Keyword(s):  
Functionally Graded Material ◽  
Power Flow ◽  
Crack Depth ◽  
Flow Analysis ◽  
Damage Index ◽  
Functionally Graded ◽  
Open Crack ◽  
Modal Power ◽  
Graded Material ◽  
Fgm Beam

Abstract The free vibration and modal power flow of a functionally graded material (FGM) beam with an open crack are studied. The crack is simulated by using the massless-rotational spring model. The natural frequencies and corresponding modal shapes of the cracked beam are obtained by the wave propagation method. A modal power flow formula of the FGM beam is deduced by Bernoulli-beam theory. A detailed parametric study is conducted to show the influences of crack location, crack depth, material property gradient, and boundary condition on the modal power flow characteristics based on a modal power flow damage index. Numerical examples show that the damage index based on the modal power flow can effectively identify the crack in the FGM beam, which provides the basis for the future study on the modal power flow based damage detection of functionally graded material structures.

Vibration characteristics and stable region of a parabolic FGM thin-walled beam with axial and spinning motion

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Baichuan Lin ◽  
Bo Chen ◽  
Yinghui Li ◽  
Jie Yang
Keyword(s):  
Natural Frequencies ◽  
Angular Speed ◽  
Vibration Characteristics ◽  
Functionally Graded ◽  
Stable Region ◽  
Graded Material ◽  
Axially Moving ◽  
Fgm Beam ◽  
Spinning Speed ◽  
Axial Speed

Abstract This paper focuses on the vibration characteristics of the parabolic functionally graded material (FGM) beam considering the axially moving and spinning motion. Based on the Hamilton’s principle, the governing equation of the beam is derived. Then, the Galerkin’s method is employed to solve the equation. The combined influence of axial speed, spinning speed, and geometric parameters on natural frequencies of the beam are investigated. What’s more, the axially moving and spinning motion can lead to a critical axial speed and critical spinning angular speed, respectively. These two critical speeds and stable region affected by different parameters are also discussed.

Coupling Effect of Temperature Stress in Butterfly Valve Mechanical System Based on FLUENT Numerical Simulation

2014 ◽  
Vol 716-717 ◽  
pp. 702-706
Author(s):  
Xiao Zhi Wang ◽  
Hong Hui Zhu ◽  
Zhi Gang Liu
Keyword(s):  
Numerical Simulation ◽  
Temperature Field ◽  
Mechanical System ◽  
Coupling Effect ◽  
Three Dimensional ◽  
Effect Of Temperature ◽  
Joint Control ◽  
Butterfly Valve ◽  
Simulation Accuracy ◽  
Valve System

The butterfly valve system is an important part of the steel heating furnace temperature control. In high temperature, the coupling effect of temperature field and stress deformation of the butterfly valve is stronger. We did not consider it in the numerical simulation research in the past, and studied the overall characteristics of butterfly valve only by 2D numerical simulation, resulting in the decrease of the numerical simulation accuracy. This paper uses the way of the FLUENT software and ANSYS software joint control, and has established the mathematical model of fluid and solid coupling effect, and has implemented the coupling effect of the temperature field and stress field of the butterfly valve system by means of three dimensional numerical simulation, then we have got the temperature distribution and stress distribution of the butterfly valve system, which provides technical reference for mechanical system design of butterfly valve.

Implementation of the Method of Fundamental Solutions and Homotopy Analysis Method for Solving a Torsion Problem of a Rod Made of Functionally Graded Material

2010 ◽  
Vol 123-125 ◽  
pp. 551-554 ◽  
Author(s):  
Anita Uscilowska
Keyword(s):  
Homotopy Analysis Method ◽  
Circular Cross Section ◽  
Numerical Procedure ◽  
Fundamental Solutions ◽  
Functionally Graded ◽  
Method Of Fundamental Solutions ◽  
Torsion Problem ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Graded Material

The purpose of this paper is the application of Method of Fundamental Solutions (MFS) to the torsion problem of hollow rods made with functionally graded materials. This method belongs to so-called meshless methods. The proposal of the paper is to solve the problem by numerical procedure, which is proper combinations of the Method of Fundamental Solutions, the approximation by Radial Basis Functions (RBF) and Homotopy Analysis Method. The numerical experiment has been performed for the bar with circular cross-section.

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