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Free and Forced Longitudinal Vibrations of Rods
Materials Science Forum, 2018Free and forced longitudinal oscillations of homogeneous rods of constant cross section are considered. Analytical and numerical methods for solving problems are used. With free vibration, numerical examples are shown for a rod with a jammed and free end and for a rod with a concentrated non-deformable mass at the end, due to which the mathematical ...
Khusen P. Kulterbaev +2 more
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Free and Forced Vibrations of Simple Systems
1991Mechanical, acoustical, or electrical vibrations are the sources of sound in musical instruments. Some familiar examples are the vibrations of strings (violin, guitar, piano, etc), bars or rods (xylophone, glockenspiel, chimes, clarinet reed), membranes (drums, banjo), plates or shells (cymbal, gong, bell), air in a tube (organ pipe, brass and woodwind
Neville H. Fletcher, Thomas D. Rossing
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Free and forced vibrations of closely coupled turbomachinery blades
21st Structures, Structural Dynamics, and Materials Conference, 1980This paper deals with the free and forced vibration of closely coupled turbomachinery blades on a disk which are connected by elements forming a circumferentially continuous periodic structure that will be called a rotationally periodic structure in this paper.
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Free and Forced Vibration of Laminated Composite Beams
AIAA Journal, 2018A new higher-order zig-zag theory is proposed for the free and forced vibration analysis of laminated composite and sandwich beams with different thickness at each ply.
Wu Zhen, Chen Wanji
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Free and Forced Vibration of Stepped Levy Plates
14th Biennial Conference on Mechanical Vibration and Noise: Vibration and Control of Mechanical Systems, 1993Abstract The study of the transverse vibration of thin rectangular plates has been mainly confined to plates of uniform thickness. There are few publications available on the vibration of plates with nonuniform thickness. These plates have application in various fields such as civil engineering and aerospace structures and are often ...
Jinkyo Lee, Lawrence A. Bergman
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Free and Forced Vibrations of Rotating Blades
Journal of the Aeronautical Sciences, 1951SUMMARY The matrix equations governing transverse vibration of a rotat ing twisted cantilever beam, such as an airplane propeller or tur bine blade, are developed. From these equations the variation in natural frequency with rotational speed may be found, and some simplified methods for finding these curves are shown.
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Free and forced vibrations of nanowires on elastic substrates
International Journal of Mechanical Sciences, 2018Abstract This work aims to study the free and forced transverse vibrations of a nanowire on elastic substrate, in a systematic way. To this end, the governing equations are obtained from an updated mechanical model integrating the effects of surface and elastic substrate.
Guang-Yuan Su +3 more
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Free and Forced Vibrations of a Spinning Viscoelastic Beam
Journal of Vibration and Acoustics, 1996The free and forced response of spinning, viscoelastic, Rayleigh shafts is studied. Viscoelasticity is included using the three parameter solid model. The closed form polynomial frequency equation and integral expressions for the response to a general forcing function are derived. A convenient decay parameter is described. Results are given for natural
F. A. Sturla, A. Argento
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Free and forced vibration of a multisupported string
The Journal of the Acoustical Society of America, 1998This paper examines a simple model: the vibration of an infinite string resting on sets of periodic supports, which are modeled as linear spring-mass-damper systems. The qth set of periodic supports may be offset by a distance xq. These offsets can thus be used to create spatially distributed gratings along the length of the string.
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Free and forced in-plane vibration of rectangular plates
The Journal of the Acoustical Society of America, 1998A mathematical model is developed for the prediction of the forced response of finite plates to in-plane point force excitations. The model illustrates the nature of the coupling between in-plane longitudinal and in-plane shear waves and the resonant characteristics of the in-plane vibrational behavior of finite flat plates.
N. H. Farag, J. Pan
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