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Date of download: 10/31/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: Coordinate system and geometry of a FGM beam resting over a three-parameters elastic foundation

2 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: Effect of temperature dependency and various power law indices on the first mode frequency of S–S FGM beams with δ = 0.04 subjected to UTR loading

3 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: Effect of temperature dependency and various power law indices on the first mode frequency of C–C FGM beams with δ = 0.04 subjected to UTR loading

4 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: A comparison between the results of this study and those reported by Li et al. [3] for fundamental frequency of S–S isotropic homogeneous Euler–Bernoulli beams. Temperature parameter is defined as τ = (12/δ2)αΔT.

5 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: A comparison between the results of this study and those reported by Li et al. [3] for fundamental frequency of C–S isotropic homogeneous Euler–Bernoulli beams. Temperature parameter is defined as τ = (12/δ2)αΔT.

6 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: Influences of three-parameters nonlinear elastic foundation (Kw*,Kg*,KNL*) on the first mode frequency of linearly graded C–C FGM beam with δ = 0.04 subjected to UTR loading

7 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: Influences of three-parameters nonlinear elastic foundation (Kw*,Kg*,KNL*) on the first mode frequency of linearly graded S–S FGM beam with δ = 0.04 subjected to UTR loading

8 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: Effect of various boundary conditions of linearly graded FGM beam on the dimensionless frequency and deflection with δ = 0.04 subjected to UTR loading

9 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: Influences of various power law indices and temperature dependency on the first frequency of C–C FGM beam with δ = 0.04 subjected to HC loading

10 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. From: Vibration of a Temperature-Dependent Thermally Pre/Postbuckled FGM Beam Over a Nonlinear Hardening Elastic Foundation J. Appl. Mech. 2013;81(1): doi: / Figure Legend: Effect of various power law indices and temperature dependency on S–S FGM beams with δ = 0.04 subjected to HC loading


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