Analytical Solution of Thermoelastic Damping in a Nanoscale Beam using the Fractional Order Theory of Thermoelasticity

DOI10.1142/S0219455415500649zbMath1359.74188MaRDI QIDQ2972566

Aatef Hobiny, Ibrahim A. A. Abbas

Publication date: 7 April 2017

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

free vibrationfrequency shiftthermoelastic dampingnano-beam resonatorfractional order theory of thermoelasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Thermal effects in solid mechanics (74F05)

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Cites Work

• State space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times
• Two-dimensional problems for thermoelasticity, with two relaxation times in spherical regions under axisymmetric distributions
• Fractional order theory of thermoelasticity
• Thermoelastic damping in micro-beam resonators
• Thermoelastic Transient Behavior for a Clamped FGM Circular Plate
• Nonlinear Transient Thermal Stress Analysis of Temperature-Dependent Hollow Cylinders Using a Finite Element Model
• Thermoelastic Vibration of an Axially Moving Microbeam Subjected to Sinusoidal Pulse Heating
• Exact Solution of Thermoelastic Damping and Frequency Shifts in a Nano-Beam Resonator
• Free Vibration and Buckling Analysis of Sandwich Beams with Functionally Graded Carbon Nanotube-Reinforced Composite Face Sheets
• Flexural Vibration of an Atomic Force Microscope Cantilever Based on Modified Couple Stress Theory
• Two-Temperature Generalized Thermo-Elastic Medium Thermally Excited by Time Exponentially Decaying Laser Pulse
• Effect of Magnetic Field on Generalized Thermo-Viscoelastic Diffusion Medium with Voids

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