Analytical solutions for the coupled thermoelastic vibrations of Timoshenko beams by means of Green׳s functions

摘要: Abstract This paper focuses on obtaining the direct expressions of steady-state two dimension temperature and displacement responses for coupled thermoelastic vibrations Timoshenko beams subjected to a heat flux an external force. Coupling effects between fields will be discussed conveniently through these analytical solutions. Damping transverse rotational directions are taken into account in vibration equations. Green׳s functions superposition principle used present study solve equations beam. The conduction presented explicitly with various mechanical thermal boundaries aid eigenfunctions expansion method Laplace transform technology. Numerical calculations performed validate solutions, influences some important physical parameters coupling multi-physics problem as well.