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Study on the pitch curve with minimal rotary inertia for the noncircular gears
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2017Aimed at the high load and slow response of the noncircular gears design, a general mathematical model for designing the pitch curve with minimal rotary inertia of the noncircular gear is proposed by resorting to kinematics principle and calculus of variations. To achieve the closure design, the constraint conditions and smoothness characteristics of N-
Xin Zhang, Shouwen Fan
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Effect of concentrated masses with rotary inertia on vibrations of rectangular plates
Journal of Sound and Vibration, 2006The effect of attached masses on free vibrations of rectangular plates is studied by considering rotary inertia of concentrated masses and geometric imperfections of the plate. Experiments are performed to understand the changes in natural frequencies and mode shapes.
AMABILI, Marco +3 more
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The effect of shear and rotary inertia of a rotor at its critical speeds
Archive of Applied Mechanics, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Shear deformation and rotary inertia effects of vibrating composite beams
Composite Structures, 1992Abstract Free vibration of symmetrically laminated composite beams is studied based on Timoshenko type equations. Shear deformation and rotary inertia are included in the analysis, but with the term representing the joint action of these effects omitted in the Timoshenko equations. Detailed analytical analysis is performed for the natural frequencies
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Wave Propagation in Elastic Rods, with Shear and Rotary Inertia Effects
1987Intuitively, a rod is any slender body, such as an arche, a bar, a column, etc.. In this paper, we use a mathematically precise definition of rod, as given by ERICKSEN & TRUESDELL [5] and ANTMAN [l]. We consider the so called Cosserat rod, namely a one-dimensional model given by a material curve c equipped with a collection of vectors, the directors ...
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Transverse Vibration of Internally Damped Beams with Rotary Inertia and Shear
The Journal of the Acoustical Society of America, 1963Discussed briefly is the manner in which the Timoshenko equation may be extended to predict the response of internally damped beams to vibration. The Timoshenko equation describes how rotary inertia and shear displacement influence beam vibration when the bending wavelength is not large compared with the beam thickness.
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Rotary Inertia and Shear in Beam Vibration Treated by the Ritz Method
The Aeronautical Journal, 1968SummaryThe natural frequencies of vibration of a cantilever beam allowing for rotary inertia and shear deformation are obtained by the approximate Ritz method.The workability of the method is dependent upon the approximating functions chosen for the dynamic displacement curves.
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Influence of rotary inertia on the fundamental frequency of a cantilever beam
Journal of Sound and Vibration, 1982A. Krishnan, M. Sithu
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On Mass Distribution, Rotary Inertia and External Damping of a Viscoelastic Polygenic System
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1974R. N. Kapoor, H. H. E. Leipholz
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