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Free Vibrations
The chapter presents the fundamentals of free vibration on the basis of translational vibration and rotational vibration. Dam** is treated as...
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Numerical Evaluation of Frequencies and the Modes of Free Vibrations of Isosceles Triangular Plates with Free Edges
Free vibrations are analyzed for isotropic plates in the form of isosceles triangles. We deduce the formula for the evaluation of the frequencies of...
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Free Vibrations of Open Cylindrical Shells with Various Elliptic Cross Sections
We study free vibrations of open noncircular cylindrical shells with elliptic cross sections. A computational model based on the finite-element...
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Controlling a Free Surface With Thermocapillary Flows and Vibrations in Microgravity
Fluid manipulation and control is crucial for space exploration. Motivated by the “Thermocapillary-based control of a free surface in microgravity"...
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Free Localized Vibrations of a Thin Elastic Composite Panel
Free boundary and interfacial vibrations of a composite cylindrical panel with free edges comprised of two finite orthotropic thin cylindrical panels...
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Free Vibrations and Buckling of Laterlally Functionally Graded Material Columns
The paper aims to develop a unified modeling to analyze the free vibrations and buckling of laterally functionally graded material columns. The...
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Free Vibrations of a Cylindrical Shell with a Cap. II. Analysis of the Spectrum
AbstractIn this paper, the lowest eigenfrequencies and vibration modes of a structure consisting of a closed circular cylindrical shell with an end...
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Analysis of Free Vibrations of a Skew Orthotropic Composite Panel
AbstractThe free vibrations and stability of layered skew composite panels symmetrical in thickness are considered. The panel is modeled by a plate...
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Nonlinear free vibrations of Timoshenko–Ehrenfest beams using finite element analysis and direct scheme
In this work, nonlinear free vibrations of fully geometrically exact Timoshenko–Ehrenfest beams are investigated. First, the exact strong form of the...
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Nonlinear Free Vibrations of Functionally Graded Porous Sandwich Plates with Complex Shape
Linear and geometrically nonlinear vibrations of porous FGM sandwich plates of different shape and boundary conditions are studied. Face layers are...
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An Efficient Numerical Method for Free and Forced Vibrations of Timoshenko Beams with Variable Cross-Section
In this study, the dynamic behaviour of beams with variable cross-sections subjected to time-dependent loads is analyzed using the Complementary...
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Mechanical Vibrations Modeling
In this chapter, we study 1—mechanical elements of vibrating systems, 2—physical causes of mechanical vibrations, 3—kinematics of vibrations,...
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Free Vibrations of a Three-Layer Plate Excited by a Heat Flux
The effect of a heat flux of constant intensity on a circular three-layer plate, thermally insulated along the contour and lower surface, is...
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Free and forced vibrations of elastically restrained cantilever with lumped oscillator
AbstractThe efficiency assessment of cantilever-based energy harvesters relies on vibrational analysis, which necessitates modifications aimed at...
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Free Vibrations of Composite Plates Made of Functionally Graded Material on an Elastic or Perfectly Rigid Foundation
Two approaches to studying the free vibrations of functionally graded plates using a three-dimensional problem statement are developed. The first...
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Thermal Induced Vibrations
Thermal induced vibrations occur in flexural elements such as beams, plates, and shells. Whenever structures are exposed to transient thermal...
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Free Vibrations of a Cylindrical Shell Reinforced by an Elastic Annular Rib
We propose an algorithm for the evaluation of frequencies and forms of natural vibrations of a thin-walled circular cylindrical shell reinforced by a...
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Exact Equations and Finding the Cutoff Frequencies of Functionally Graded Plates in Free Vibrations
In an explicit form, the frequency equations of cutoff frequencies for free vibrations of functionally graded plates whose elastic moduli depend on...
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Free and forced vibrations of functionally graded shallow shells based on the 3D elasticity theory
Models available in publications for studying free and forced vibrations of functionally graded plates and shallow shells are usually tested for some...
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Transfer matrix method for free and forced vibrations of multi-level functionally graded material stepped beams with different boundary conditions
Functionally graded materials (FGMs) are a novel class of composite materials that have attracted significant attention in the field of engineering...