REFERENCES
- C. Zener , Internal Friction in Solids I. Theory of Internal Friction in Reeds , Phys. Rev , vol. 52 , pp. 230 – 235 , 1937 .
- R. Lifshitz and M. L. Roukes , Thermoelastic Damping in Micro-and Nanomechanical Systems , Phys. Rev. B , vol. 61 pp. 5600 – 5609 , 2000 .
- B. H. Houston , D. M. Photiadis , J. F. Vignola , M. H. Marcus , X. Liu , D. Czaplewski , L. Sekaric , J. Butler , P. Pehrsson , J. A. Bucaro , Loss Due to Transverse Thermoelastic Currents in Micro Scale Resonators , Mater. Sci. Enging: A , vol. 370 , pp. 407 – 411 , 2004 .
- Y. Sun , D. Fang , and A. K. Soh , Thermoelastic Damping in Micro-Beam Resonators, Int. J. Solids Struct. , vol. 43, pp. 3213–3229, 2006.
- J. N. Sharma , Thermoelastic Damping and Frequency Shift in Micro/Nanoscale Anisotropic Beams , J. Thermal Stresses , vol. 34 , pp. 1 – 17 , 2011 .
- X.-X. Guo , Z.-M. Wang , Y. Wang , and Y.-F. Zhou , Analysis of the Coupled Thermoelastic Vibration for Axially Moving Beam , J. Sound Vib. , vol. 325 , pp. 597 – 608 , 2009 .
- Y. X. Sun , D. N. Fang , M. Saka , and A. K. Soh , Laser-Induced Vibrations of Micro-Beams Under Different Boundary Conditions , Int. J. Solids Struct. , vol. 45 , pp. 1993 – 2013 , 2008 .
- Y. X. Sun and M. Saka , Thermoelastic Damping in Micro-Scale Circular Plate Resonators , J. Sound Vib. , vol. 329 , pp. 328 – 337 , 2010 .
- P. A. Hassanpour , W. L. Cleghorn , E. Esmailzadeh , and J. K. Mills , Vibration Analysis of Micro- Machined Beam Type- Resonators , J. Sound Vib. , vol. 308 , pp. 287 – 301 , 2007 .
- B. A. Boley , Approximate Analysis of Thermally Induced Vibrations of Beams and Plates , ASME J. Appl. Mech. , vol. 39 , pp. 212 – 216 , 1972 .
- J. N. Sharma and D. Grover , Thermoelastic Vibrations in Micro-/Nano-scale Beam Resonators with Voids , J. Sound Vib. , vol. 330 , pp. 2964 – 2977 , 2011 .
- S. P. Beeby and M. J. Tudor , Modelling and Optimization of Micro-Machined Silicon Resonators , J. Micromech. Microeng. , vol. 5 , pp. 103 – 105 , 1995 .
- C. Shu and H. Du , Implementation of Clamped and Simply Supported Boundary Conditions in the GDQ Free Vibration Analysis of Beams and Plates , Int. J. Solids Struct. , vol. 34 , pp. 819 – 835 , 1997 .
- J. N. Sharma and R. Sharma , Damping in Micro-Scale Thermoelastic Circular Plate Resonator , Ultrasonics , vol. 51 , pp. 352 – 358 , 2011 .
- H. W. Lord and Y. Shulman , A Generalised Dynamical Theory of Thermoelasticity , J. Mech. Phys. Solids , vol. 15 , pp. 299 – 309 , 1967 .
- R. S. Dhaliwal and A. Singh , Dynamic Coupled Thermoelasticity , Hindustan Publishing Corporation , New Delhi , India , 1980 .
- S. S. Rao , Vibration of Continuous Systems , John Wiley & Sons , New Jersey , 2007 .
- G. Rezazadeh , A. S. Vahdat , S. Tayefeh-rezaei , and C. Cetinkaya , Thermoelastic Damping in a Micro-Beam Resonator Using Modified Couple Stress Theory , Acta Mech. , vol. 223 , pp. 1137 – 1152 , 2012 .
- M. H. Bao , Analysis and Design Principles of MEMS Devices , Elsevier , New York , 2005 .