https://doi.org/10.1140/epjp/s13360-021-02008-4
Regular Article
Forced vibration analyses of FGP shallow shells with variable curvature
1
College of Mechanical and Electrical Engineering, Zaozhuang University, 277160, Shandong, China
2
College of Mechanical Engineering, Shandong University of Science and Technology, Shandong, China
3
School of Mechanical Engineering, Shandong University, Shandong, China
Received:
8
July
2021
Accepted:
28
September
2021
Published online:
10
October
2021
The functionally graded porous material is an emerging material that is able to reduce structural weight and keeps the superiority of mechanical property of the structure. Therefore, this work is devoted to the investigation of the dynamic behavior for the functionally graded porous (FGP) shallow shells with variable curvature under forced vibrations. First, the analysis method is derived based on the first-order shear deformation theory, the virtual spring technology, the multi-segment partition technique, the third kind of Chebyshev polynomials, the semi-analysis Rayleigh–Ritz approach, and the Newmark-Beta method. Afterwards, the frequency parameters, modal shapes, and vibration responses are systematically calculated via the present model. Besides, the convergency and correctness of the present model are verified, respectively. With the verified model, the forced vibration behaviors of the FGP shallow shells with different parameters, such as porosity distribution types, porosity ratios, boundary condition types, geometry parameters, and load types, are investigated in detail.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
