An approach to the solution of nonlinear forced vibration problem of structural systems reinforced with advanced materials in the presence of viscous damping

Sofiyev, A.H.; Avey, M.; Kuruoğlu, N.

doi:10.1016/j.ymssp.2021.107991

Cited by 50 publications

(6 citation statements)

References 45 publications

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“…In order to deal with the governing equations, the Laplace transform method is used to reduce the order of the differential equations by omitting the time derivatives and solving the resulting equation in the Laplace space. By applying the Laplace technique, by assuming zero initial conditions (39), Equations ( 33), (37), and (38), in their transformed cases, are written by:…”

Section: Laplace Transform Approachmentioning

confidence: 99%

“…The nonlocal theory of elasticity includes a scale‐dependent parameter named non‐local parameter which provides a mechanism to reduce the rigidity due to the nonlocal effects [14]. In recent years, several researches were conducted to analyze the elastic, thermal, wave propagation, and vibration behavior of micro‐ and nano‐structures on the basis of various beam theories [15–39].…”

Section: Introductionmentioning

confidence: 99%

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Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

et al. 2021

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Rotating micromachined beams are one of the most practical devices with several applications from power generation to aerospace industries. Moreover, recent advances in micromachining technology have led to huge interests in fabricating miniature turbines, gyroscopes and microsensors thanks to their high quality/reliability performances. To this end, this article is organized to examine the axial dynamic reaction of a rotating thermoelastic nanobeam under a constantvelocity moving load. Using Eringen's nonlocal elasticity in conjunction with Euler-Bernoulli theory and Hamilton's principle, the governing equations are derived. It is assumed that the nanobeam is affected by thermal load and the boundary condition is simply supported. The Laplace transform approach is employed to solve the partial differential equations. A numerical example is presented to analyze the effects of the nonlocal parameter, rotation speed and velocity of the static moving load on the dynamic behavior of the system. The numerical results are graphically illustrated and analyzed to recognize the variations of field variables. Finally, in some special cases, our results are compared to those reported in the literature to demonstrate the reliability of the current model.

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Section: Laplace Transform Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

et al. 2021

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“…where w CN is the mass fraction of the nanotube. It was assumed that V CN is defined as a function of the thickness coordinate as follows [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43] (see Figure 2): [24]:…”

Section: Modeling Of Materials Propertiesmentioning

confidence: 99%

“…For these reasons, the researchers have begun to study the static and dynamic responses of cylindrical shape structures originating from CNT. The first studies of the static and dynamic behavior of CNT-based cylindrical shells, without considering the influence of soils, were carried out, and there are many significant studies on this topic [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Influences of Elastic Foundations and Material Gradient on the Dynamic Response of Polymer Cylindrical Pipes Patterned by Carbon Nanotube Subjected to Moving Pressures

et al. 2021

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Composite materials are frequently used in the construction of rail, tunnels, and pipelines as well as in the construction of aircraft, ships, and chemical pipelines. When such structural elements are formed from new-generation composites, such as CNT-reinforced composites, and their interaction with the ground, there is a need to renew the dynamic response calculations under moving pressures and to create new mathematical solution methods during their design. The aim of this study was to analyze the influences of elastic foundations (EFs) and material gradient on the dynamic response of infinitely long carbon nanotube (CNT)-based polymer pipes under combined static and moving pressures. The CNT-based polymer pipes resting on the EFs were exposed to the axial and moving pressures. The uniform and heterogeneous reinforcement distributions of CNTs, which varied linearly throughout the thickness of polymer pipes, were considered. After setting the problem, the fundamental equations derived to find new analytical expressions for dynamic coefficients and critical velocity, which are dynamic characteristics of cylindrical pipes reinforced by the uniform and linear distributions of CNTs, were solved in the framework of the vibration theory. Finally, numerical computations were performed to examine the effects of EFs on the critical parameters depending on the characteristics of the pipes, the speed of moving pressures, the shape of the distribution of CNTs, and the change in volume fractions.

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“…In the presence of linear viscous damping, Sofiyev et al 47 studied the nonlinear forced vibrations of composite plates, panels, and shells reinforced with advanced materials. Under external excitations, Sofiyev et al 48 also analyzed the forced vibration of orthotopic double‐curved shallow shells with considering the nonlinearity and material gradient effects.…”

Section: Introductionmentioning

confidence: 99%

Hygrothermal vibration of a laminated sandwich plate with magnetostrictive faces and a homogeneous core

Zenkour

El-Shahrany

2021

Polymer Composites

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Hygrothermal forced vibration and damping analyses of a simply supported symmetric laminated composite plate with homogeneous core and magnetostrictive layers are examined using the exponential displacement model in this article. Three hygrothermal environment distribution types are investigated: uniform, linear and nonlinear rises in the present analysis. The equations of motion for laminated rectangular plates subjected to hygrothermal loads and in-plane forces in x and y directions are developed through Hamilton's principle. The closed-form solution is arrived at based on Navier's technique to analyze the hygrothermal effect on the vibrational behavior of the structure. Some parametric examples are presented to discuss the effects of the smart layer location, lamination schemes, mode number, aspect ratio, thickness ratio, feedback gain control value, in-plane forces, core thickness-to-fiber reinforced layer thickness ratio, magnetostrictive layer thickness to fiber-reinforced layer thickness ratio, temperature and moisture changes on vibration response of the proposed model. The study results illustrate that the high hygro ratio weakens the plate stiffness, and accordingly, the amplitude of the deflection increases with raising the moisture and/or temperature. The numerical results emphasize the strong role of the feedback control gain values and the smart layer position in controlling the system vibration. The largest deflections and highest damping time interval happen in the uniform temperature distribution and moisture concentration case. Moreover, the vibration frequencies of the thin smart plates are smaller than the thick ones.

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An approach to the solution of nonlinear forced vibration problem of structural systems reinforced with advanced materials in the presence of viscous damping

Cited by 50 publications

References 45 publications

Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads

Influences of Elastic Foundations and Material Gradient on the Dynamic Response of Polymer Cylindrical Pipes Patterned by Carbon Nanotube Subjected to Moving Pressures

Hygrothermal vibration of a laminated sandwich plate with magnetostrictive faces and a homogeneous core

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