A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank
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(2020) 42:332
TECHNICAL PAPER
A semi‑analytical boundary method in investigation of dynamic parameters of functionally graded storage tank Majid Khayat1 · Abdolhossein Baghlani1 · Seyed Mehdi Dehghan1 Received: 26 March 2019 / Accepted: 13 May 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract In this study, semi-analytical boundary method is adopted to examine dynamic parameters of partially fluid-filled cylindrical shells made of functionally graded materials. Material properties are assumed to radially variable in terms of volume fraction of ceramic and metal according to a simple power law distribution. The shells are reinforced by stiffeners in which the material properties of shell and stiffeners are assumed to be continuously graded in thickness direction. Displacements and rotations of the shell middle surface, the liquid velocity potential function and the free surface displacements are approximated by combining polynomial functions in meridian direction and truncated Fourier series and Bessel function. A detailed numerical study is carried out to investigate the effects of different parameters on dynamic response of stiffened functionally graded partially fluid-filled shell. Keywords Functionally graded composite storage tank · Dynamic analysis · Semi-analytical integral equation method
1 Introduction Structures made of shell are widely used in various industries and have become more popular due to development of new materials and technologies (e.g., [1–3]). Functionally graded material (FGM) belongs to a class of advanced material characterized by variation in properties as dimension varies. The properties of FGM are unique and different from any of the individual material that forms it. The FGMs have been also subjected to various types of studies including free vibration, buckling and thermo-mechanical analyses [4–17]. Generally, detailed study of dynamic behavior of structures calls for recognizing the influential parameters affecting the structure frequencies. For instance, the presence of fluid in shell structures leads to significant decrease in structure’s natural frequencies which can consequently increase the probability of resonance. Furthermore, valid and complete structural health monitoring is performed based on Technical Editor: José Roberto de França Arruda. * Majid Khayat [email protected] 1
Department of Civil Engineering and Environment, Shiraz University of Technology, Shiraz, Iran
the complete recognition of dynamic parameters of healthy structure. Various aspects of dynamic behavior of composite materials such as laminated composite materials and FGM have been investigated with different types of finite element methods in many studies [18, 19]. In semi-analytical method, Fourier series expansion was taken into account to approximate displacements and rotations in the direction in which geometry and material properties were invariant. In the other directions, the structure was discretized into several finite elements which can be of low- or
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