Normal Mode Method for Two-Temperature Generalized Thermoelasticity Under Thermal Shock Problem

2014 ◽  
Vol 37 (5) ◽  
pp. 545-560 ◽  
Author(s):  
Khaled Lotfy ◽  
Wafaa Hassan
Keyword(s):  
Thermal Shock ◽  
Normal Mode ◽  
Generalized Thermoelasticity ◽  
Mode Method ◽  
Normal Mode Method ◽  
Thermal Shock Problem ◽  
Two Temperature

scholarly journals Effect of Rotation for Two-Temperature Generalized Thermoelasticity of Two-Dimensional under Thermal Shock Problem

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Kh. Lotfy ◽  
Wafaa Hassan
Keyword(s):  
Thermal Shock ◽  
Half Space ◽  
Normal Mode ◽  
Normal Mode Analysis ◽  
Generalized Thermoelasticity ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Field Equations ◽  
Conductive Temperature ◽  
Two Temperature

The theory of two-temperature generalized thermoelasticity based on the theory of Youssef is used to solve boundary value problems of two-dimensional half-space. The governing equations are solved using normal mode method under the purview of the Lord-Şhulman (LS) and the classical dynamical coupled theory (CD). The general solution obtained is applied to a specific problem of a half-space subjected to one type of heating, the thermal shock type. We study the influence of rotation on the total deformation of thermoelastic half-space and the interaction with each other under the influence of two temperature theory. The material is homogeneous isotropic elastic half-space. The methodology applied here is use of the normal mode analysis techniques that are used to solve the resulting nondimensional coupled field equations for the two theories. Numerical results for the displacement components, force stresses, and temperature distribution are presented graphically and discussed. The conductive temperature, the dynamical temperature, the stress, and the strain distributions are shown graphically with some comparisons.

An Approximate Normal Mode Method for Damped Lumped Parameter Systems

1967 ◽  
Vol 89 (4) ◽  
pp. 597-604 ◽  
Author(s):  
A. Seireg ◽  
L. Howard
Keyword(s):  
White Noise ◽  
Normal Mode ◽  
Damping Ratio ◽  
Conservative System ◽  
Random Excitation ◽  
Mass System ◽  
Response Data ◽  
Lumped Parameter ◽  
Mode Method ◽  
Normal Mode Method

An approximate normal mode method is introduced which permits any linear non-conservative system to be solved by super position of uncoupled coordinates. Accuracy of the method was found to be good when checked by digital computer for dynamic damper systems subjected to sinusoidal and white noise random excitation. A technique is presented which permits a mathematical model for a damped multimass system to be constructed entirely from experimentally obtained sinusoidal frequency response data. An expression is derived for optimum damping ratio and natural frequency ratio that will minimize the response of a two-mass system to white noise random excitation.

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