vibration analysis of the sandwich beam with electro-rheological fluid core embedded within two fg nanocomposite faces resting on pasternak foundation

This investigation deals with the vibration analysis of the sandwich beam with electro-rheological (er) core embedded within two functionally graded (fg) carbon nanotubes (cnts) reinforced composite (fg-cntrc) layers. in this regard, the governing equations are extracted by the hamilton principle and the rule of mixture is employed to calculate the effective mechanical and physical properties of the cntrcs face-sheets. don and yalcintas shear modulus models are applied to simulate shear modules of the er core of the beam. the elastic medium is simulated by winkler-pasternak model and then, the governing equations are analytically solved. finally, a parametric study is carried out in details and the effects of some main designing parameters such as applied voltage, winkler coefficient, pasternak coefficient, core to face-sheets thickness ratios and the different pattern of the cnts along the face-sheets and loss factors are examined on the natural frequency. based on the obtained results, volume fraction of cnts in face-sheets have significant influence on the natural frequency in which by increasing the volume fractions the flexural rigidity of the sandwich beam increases as well as natural frequency.