Analysis of Transverse Vibration of Antenna Structure Resonator Using Bernoulli–Euler Beam Theory and Quantum Mechanical Examination of Its Quantized Displacement

2008 ◽  
Vol 47 (7) ◽  
pp. 5734-5742 ◽  
Author(s):  
Hideaki Itoh ◽  
Kiyoshi Ishikawa ◽  
Yoshitada Kobayashi
Keyword(s):  
Transverse Vibration ◽  
Beam Theory ◽  
Quantum Mechanical ◽  
Euler Beam ◽  
Antenna Structure ◽  
Euler Beam Theory

Vibration Analysis of a Partially Covered Double Sandwich Cantilever Beam With Concentrated Mass at the Free End

1993 ◽  
Author(s):  
C. Levy ◽  
Q. Chen
Keyword(s):  
Loss Factor ◽  
Equations Of Motion ◽  
Beam Theory ◽  
Physical Parameters ◽  
Mass Ratio ◽  
Euler Beam ◽  
Concentrated Mass ◽  
Sandwich Type ◽  
Euler Beam Theory ◽  
Two Parameters

Abstract The partially covered, sandwich-type cantilever with concentrated mass at the free end is studied. The equations of motion for the system modeled via Euler beam theory are derived and the resonant frequency and loss factor of the system are analyzed. The variations of resonance frequency and system loss factor for different geometrical and physical parameters are also discussed. Variation of these two parameters are found to strongly depend on the geometrical and physical properties of the constraining layers and the mass ratio.

Elastic Analysis of Beam-Support Impact

1985 ◽  
Vol 107 (1) ◽  
pp. 64-67 ◽  
Author(s):  
M. A. Salmon ◽  
V. K. Verma ◽  
T. G. Youtsos
Keyword(s):  
Analytical Solutions ◽  
Beam Theory ◽  
Bending Moment ◽  
General Purpose ◽  
Euler Beam ◽  
Piping Systems ◽  
Euler Beam Theory ◽  
Impact Problems ◽  
Fixed End ◽  
Spring Support

The effect of gaps present in the seismic supports of nuclear piping systems has been studied with the use of such large general-purpose analysis codes as ANSYS. Exact analytical solutions to two simple beam-impact problems are obtained to serve as benchmarks for the evaluation of the ability of such codes to model impact between beam elements and their supports. Bernoulli-Euler beam theory and modal analysis are used to obtain analytical solutions for the motion of simply supported and fixed-end beams after impact with a spring support at midspan. The solutions are valid up to the time the beam loses contact with the spring support. Numerical results are obtained which show that convergence for both contact force and bending moment at the point of impact is slower as spring stiffness is increased. Finite element solutions obtained with ANSYS are compared to analytical results and good agreement is obtained.

scholarly journals Vibrations of a Beam Moving Over Supports with Clearance

1994 ◽  
Vol 1 (6) ◽  
pp. 549-557
Author(s):  
H.P. Lee
Keyword(s):  
Piecewise Linear ◽  
Equations Of Motion ◽  
Beam Theory ◽  
Euler Beam ◽  
Assumed Mode Method ◽  
Mode Method ◽  
Euler Beam Theory ◽  
The Stability ◽  
Effect Of Support ◽  
Piecewise Linear Stiffness

The transverse vibration of a beam moving over two supports with clearance is analyzed using Euler beam theory. The equations of motion are formulated based on a Lagrangian approach and the assumed mode method. The supports with clearance are modeled as frictionless supports with piecewise-linear stiffness. A feature of the present formulation is that its complexity does not increase with increased number of supports. Results of numerical simulations are presented for various prescribed motions of the beam. The effect of support clearance on the stability of the beam is investigated.

On the Bernoulli-Euler Beam Theory with Random Excitation

1960 ◽  
Vol 27 (5) ◽  
pp. 371-376 ◽  
Author(s):  
J. L. BOGDANOFF ◽  
J. E. GOLDBERG
Keyword(s):  
Beam Theory ◽  
Random Excitation ◽  
Euler Beam ◽  
Euler Beam Theory

scholarly journals Electro-Mechanical Coupling Properties of Band Gaps in an Elastic/Piezoelectric Phononic Crystal Nonlocal Nanobeam With Periodically Attached “spring-Mass” Resonators

2021 ◽  
Author(s):  
Denghui Qian ◽  
Jianchun Wang ◽  
Feiyang He
Keyword(s):  
Phononic Crystal ◽  
Beam Theory ◽  
Band Gaps ◽  
Ultrahigh Frequency ◽  
Total Width ◽  
Plane Wave Expansion ◽  
Euler Beam ◽  
Band Structures ◽  
Mechanical Coupling ◽  
Euler Beam Theory

Abstract The model of a locally resonant (LR) epoxy/PZT-4 phononic crystal (PC) nanobeam with “spring-mass” resonators periodically attached on epoxy is proposed. The corresponding band structures are calculated by coupling Euler beam theory, nonlocal piezoelectricity theory and plane wave expansion (PWE) method. Three complete band gaps with widest total width less than 10GHz can be formed in the proposed nanobeam by comprehensively comparing the band structures of three kinds of LR PC nanobeams with resonators attached or not. Furthermore, influencing rules of the coupling fields between electricity and mechanics, “spring-mass” resonator, nonlocal effect and different geometric parameters on first three band gaps are discussed and summarized. All the investigations are expected to be applied to realize the active control of vibration in the region of ultrahigh frequency.

scholarly journals Crack Commencement and Transmissionan Alysison Heavy Vehicle Propeller Shaft by using Wavelet Transform

2021 ◽  
Vol 7 (03) ◽  
pp. 304-309
Author(s):  
K.V.N.Varma, K.V.P.P.Chandu and K.Venkateswara Rao
Keyword(s):  
Wavelet Transformation ◽  
Beam Theory ◽  
Transformation Method ◽  
Propeller Shaft ◽  
Euler Beam ◽  
Critical Areas ◽  
Engineering Problems ◽  
Euler Beam Theory ◽  
Numerical Finite Element ◽  
Technique Comparison

Present work gives an overview of cracks determination in material usingnatural frequency and wavelet transformation method and its application tocurrent engineering problems. In this technique, comparison between actualnatural frequency (without crack) and frequency due to crack propagation ismade using Euler Beam theory. When cracks are present in structure, natural frequency of material deviates from its original frequencyandresultdifference will measure in term of crack. Whole analysis procedure starting from modeling, meshing and resul tinterpretation done on well-known numerical tool ANSYS. The main aim of proposed study is to detect critical areas especially crack initiativezone before doing actual fabrication of components and avoid the breakage of it. Effects of a breathing crack on thevibratory characteristics of a rotating propeller shaft are investigated. Here three types of load consideration have taken such as axial, bending and torsionloadings. Results of numerical Finite Element Method (FEM) are validatedusingnumericalresultshasdoneusing MATLAB.

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