Abstract Dynamic response of an axially functionally graded (AFG) beam under thermal environment subjected to a moving harmonic load is investigated within the frameworks of classical beam theory (CBT) and Timoshenko beam theory (TBT). The Lagrange method is employed to derive the equations of thermal buckling for AFG beam, and then with the critical buckling temperature as a parameter the Newmark-β method is adopted to evaluate the dynamic response of AFG beam under thermal environments. Admissible functions denoting transverse displacement are expressed in simple algebraic polynomial forms. Temperature-dependency of material constituent is considered. The rule of mixture (Voigt model) and Mori-Tanaka (MT) scheme are used to evaluate the beam's effective material properties. A ceramic-metal AFG beam with immovable boundary condition is considered as numerical illustration to show the thermal effects on the dynamic behaviors of the beam subjected to a moving harmonic load.
Highlights We investigated the dynamic behaviors of AFG beam in thermal environment. Voigt and Mori-Tanaka models are used to evaluated effective material properties of AFG beam. Moving harmonic loads with various velocities and frequencies are subjected to the beam. The Lagrange method and Newmark-β method are employed. Numerical illustrations show the thermal effect on some parameters.
Thermal effect on the dynamic response of axially functionally graded beam subjected to a moving harmonic load
Acta Astronautica ; 127 ; 171-181
2016-05-14
11 pages
Article (Journal)
Electronic Resource
English
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