Investigation of state vector computational solution on modeling of wave propagation through functionally graded nanocom
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ORIGINAL ARTICLE
Investigation of state vector computational solution on modeling of wave propagation through functionally graded nanocomposite doubly curved thick structures M. Ghassabi1 · M. R. Zarastvand1 · R. Talebitooti1 Received: 16 February 2019 / Accepted: 6 May 2019 © Springer-Verlag London Ltd., part of Springer Nature 2019
Abstract In this paper, a solution strategy based on the state vector technique is proposed to study the vibroacoustic performance of carbon nanotube (CNT)-reinforced composite doubly curved thick shells employing three-dimensional theory. For this purpose, the properties of the nanocomposite media are investigated by the rule of mixture which includes some productivity parameters. This approach considers various distributions of CNT which can be identical or functionally graded through thickness direction. Since the state vector solution is used to solve the three-dimensional equations of motion, the nanocomposites are divided into s layers for stress and strain components according to approximate layer model along with local transfer matrix. This process is followed by the global transfer matrix for all of the layers of thick shell. After obtaining the sound transmission loss of structure, various configurations are presented to validate the results. Hence, not only the precision of the formulation is confirmed but also the importance of considering the three-dimensional theory is remarked due to very reliable outcomes at high-frequency domain for CNT-reinforced composite thick shells. Furthermore, it is shown that the CNTs are able to enhance the sound insulation property of doubly curved structures. Finally, a new approach is made to present the sound pressure level of CNT doubly curved shells with respect to various CNT materials in different distributions. Keywords State vector technique · Nanocomposite · Wave propagation · Doubly curved nanoshell · Three-dimensional elasticity theory
1 Introduction The importance of using carbon nanotube (CNT)-reinforced composite returns to the early nineteenth century. Iijima [1] is known as researcher who worked on it for the first time. The applications of CNT among of the other advanced composite structures including electrical, thermal, mechanical and chemical properties were caused to increase the importance of employing them in twenty-first century [2]. CNTs have the alignment of carbon atoms in cylinder form which are extensively used in marine, nuclear plant and aerospace structure due to thermal stability, corrosion resistance and high strength [3]. In this regard, other works [4, 5] were * R. Talebitooti [email protected] 1
Noise and Vibration Control Research Laboratory, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
presented wherein the CNTs were aligned in polymer matrix. Besides, another study was made on the characteristics of nanocomposites [6]. Qian et al. [7] focused on the most important properties of CNT including high stiffness and extraordinary resilience. This proces
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