Dynamic analysis of stepped functionally graded piezoelectric plate with general boundary conditions

The porous material is an emerging lightweight material, which is able to reduce structural weight and also keeps the superiority of the structure. Therefore, this work is devoted to the investigation of the functionally graded porous (FGP) annular and circular plates with general boundary conditions. The unified modeling method is proposed by combining the first-order shear deformation theory, the virtual spring technology, the multi-segment partition method, and the semi-analysis Rayleigh–Ritz approach. Afterwards, the convergency and correctness of the proposed method are verified, respectively. The frequency parameters, modal shapes, and forced vibration responses are uniformly calculated based on the proposed method. Finally, the dynamic analyses of the FGP annular and circular plates with different parameters, such as the porosity distribution types, porosity ratios, boundary condition types, geometry parameters, and load types, are conducted in detail. It is found that the reasonable porous design is able to keep the dynamic stability of the structure under different parameter variations.

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Traveling wave analysis of rotating functionally graded graphene platelet reinforced nanocomposite cylindrical shells with general boundary conditions

Results in Physics ◽

10.1016/j.rinp.2019.102752 ◽

2019 ◽

Vol 15 ◽

pp. 102752 ◽

Cited By ~ 25

Author(s):

Zhaoye Qin ◽

Babak Safaei ◽

Xuejia Pang ◽

Fulei Chu

Keyword(s):

Boundary Conditions ◽

Traveling Wave ◽

Cylindrical Shells ◽

Functionally Graded ◽

General Boundary ◽

General Boundary Conditions ◽

Wave Analysis ◽

Graphene Platelet

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Free Vibration Analysis of the Unified Functionally Graded Shallow Shell with General Boundary Conditions

Shock and Vibration ◽

10.1155/2017/7025190 ◽

2017 ◽

Vol 2017 ◽

pp. 1-19 ◽

Cited By ~ 4

Author(s):

Dongyan Shi ◽

Shuai Zha ◽

Hong Zhang ◽

Qingshan Wang

Keyword(s):

Free Vibration ◽

Boundary Conditions ◽

Vibration Analysis ◽

Shallow Shell ◽

Shear Deformation Theory ◽

Free Vibration Analysis ◽

Functionally Graded ◽

General Boundary ◽

Volume Distribution ◽

General Boundary Conditions

The free vibration analysis of the functionally graded (FG) double curved shallow shell structures with general boundary conditions is investigated by an improved Fourier series method (IFSM). The material properties of FG structures are assumed to vary continuously in the thickness direction, according to the four graded parameters of the volume distribution function. Under the current framework, the displacement and rotation functions are set to a spectral form, including a double Fourier cosine series and two supplementary functions. These supplements can effectively eliminate the discontinuity and jumping phenomena of the displacement function along the edges. The formulation is based on the first-order shear deformation theory (FSDT) and Rayleigh-Ritz technique. This method can be universally applied to the free vibration analysis of the shallow shell, because it only needs to change the relevant parameters instead of modifying the basic functions or adapting solution procedures. The proposed method shows excellent convergence and accuracy, which has been compared with the results of the existing literatures. Numerous new results for free vibration analysis of FG shallow shells with various boundary conditions, geometric parameter, material parameters, gradient parameters, and volume distribution functions are investigated, which may serve as the benchmark solution for future researches.

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