Dynamic response analysis of a thin rectangular plate of varying thickness to a traveling inertial load

Ghazvini, Taher; Nikkhoo, Ali; Allahyari, Hamed; Zalpuli, Majid

doi:10.1007/s40430-015-0409-2

Cited by 18 publications

(4 citation statements)

References 29 publications

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“…Nikkhoo et al [21], investigated the excitation of a thin rectangular plate subjected to series of moving masses. Ghazvini et al [22] studied the dynamic vibration of thin un-uniform profile rectangular plates under the force of a moving mass. Hassanabadi et al [23] investigated the resonance of thin rectangular plates subjected to a train of moving mass.…”

Section: Introductionmentioning

confidence: 99%

On non-stationary response of cracked thin rectangular plates acted upon by a moving random force

2023

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This paper is aimed to examine the dynamics of cracked thin rectangular plates subjected to a moving non-stationary random load. A random load is considered with a constant mean value, a constant moving velocity, and five different covariance patterns namely the white noise, constant, exponential, cosine wave, and exponential cosine covariance. Accordingly, an intact plate's orthogonal polynomials in combination with the well-known corner functions are employed to explore the mechanical behavior of the cracked plate. As the non-dimensional deflection values, the functions of the squared mean values are obtained for the damped and undamped cracked plates at different points. Then an inclusive parametric study is performed to explore effects of the inclined crack angles and the crack lengths on the non-dimensional functions of squared mean values at middle point of the undamped and damped cracked plates. Based on the obtained results, there are non-monotonous nonlinear relations between increasing the incline crack angles as well as the crack lengths and the non-dimensional functions of squared mean values. Furthermore, it is found that in the exponential covariance cases, the effects of increasing crack angles and lengths on the non-dimensional squared mean values are profounder than the other four patterned covariance cases.

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Section: Introductionmentioning

confidence: 99%

On non-stationary response of cracked thin rectangular plates acted upon by a moving random force

2023

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“…The work [3] [4] [5] is devoted to the calculation of the forced vibrations of shells of revolution and plates with locally attached bodies. In [6] [7] [8], development trends of the construction industry, aerospace engineering, shipbuilding, chemical and energy industries, and many other branches of modern technology are discussed, which are characterized by the increasing complexity of design decisions in the design of various objects and, in particular, are usually represented by thin-walled spatial structures and on the one hand, they raise the requirements for the reliability of these facilities in operation, and on the other hand, to reduce its weight and material consumption. Also, when designing complex structures, along with traditional metal materials, polymer materials and composites based on them are increasingly used [9] [10] [11].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Structural-Inhomogeneous Laminate and Shell Mechanical Systems with Point Constraints and Focused Masses. Part 2. Statement of the Problem of Forced Oscillations, Methods of Solution, Computational Algorithm and Numerical Results

Mirziyod¹,

Ibrokhimovich²,

Khudoyberdievich³

2019

JAMP

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A vibrational formulation, a technique, and an algorithm are proposed for assessing the resonance state of a package of rectangular plates and shells having point bonds and concentrated masses with different rheological properties of deformable elements under the influence of harmonic influences. The viscoelastic properties of elements are described using the linear Boltzmann-Volterra theory. An algebraic system of equations with complex coefficients is obtained, which is solved by the Gauss method. Various problems on steady-state forced vibrations for structurally inhomogeneous mechanical systems consisting of a package of plate and shell systems with concentrated masses and shock absorbers installed in it were solved. A number of new mechanical effects have been discovered associated with a decrease in the maximum resonance amplitudes of the mechanical system as a whole. The concept of "global resonance amplitude" is introduced to study the behavior of the resonance amplitudes of a mechanical system. An analysis of the numerical results showed that the interaction of resonant amplitudes is observed only in structurally inhomogeneous systems (in this case, with elastic and viscoelastic elements) and with a noticeable approximation of the natural frequencies.

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“…In another study, Ghazvini et al. [24] presented a computational procedure and they assessed the dynamic behavior of a rectangular plate with variable thickness when it is acted upon by a moving mass using the eigenfunction expansion method. Nikkhoo et al.…”

Section: Introductionmentioning

confidence: 99%

Boundary characteristic orthogonal polynomials method in the vibration analysis of multi-span plates acting upon a moving mass

Rad

Ghalehnovi

Shariatmadar

2019

Heliyon

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The Boundary Characteristic Orthogonal Polynomials (BCOP) method is used in this study in order to analyze multi-span plates traversed by a moving inertia load traveling on an arbitrary path with constant velocity. The plate is assumed to be free from any support at the longitudinal edges and the spans are made by simply supported constraints at width, i.e. SFSF. The plate's mode shapes are generated by the BCOP method while the boundary condition is satisfied over all computational modes. A free vibration analysis is done in order to find natural frequency. The governing differential equations of motion are derived by Hamilton's principle and the solution in the time domain is found by using the Matrix Exponential method after modeling the problem in state space. All of the convective inertia terms are included in the acceleration derivatives and the responses are presented both for the load moving on the plate's surface ignoring/including the mass inertia effect. A comprehensive parametric study on the plate's mid-spans is carried out for the single, two- and three-span plates, investigating Dynamic Amplification Factor (DAF) versus non-dimensional velocity (V). The effect of mass and aspect ratio along with the location of reference point of calculation on the dynamic behavior of a multi-span plate is investigated and many graphs are generated as spectra. One can easily find the critical velocity as well as the peak deflection for each case study by introducing a corrective factor. The solution under moving mass excitation is obtained by the factor if the same response for moving load is known.

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Dynamic response analysis of a thin rectangular plate of varying thickness to a traveling inertial load

Cited by 18 publications

References 29 publications

On non-stationary response of cracked thin rectangular plates acted upon by a moving random force

On non-stationary response of cracked thin rectangular plates acted upon by a moving random force

Dynamics of Structural-Inhomogeneous Laminate and Shell Mechanical Systems with Point Constraints and Focused Masses. Part 2. Statement of the Problem of Forced Oscillations, Methods of Solution, Computational Algorithm and Numerical Results

Boundary characteristic orthogonal polynomials method in the vibration analysis of multi-span plates acting upon a moving mass

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