scholarly journals ENHANCED DAMPING CHARACTERISTICS OF TIMOSHENKO BEAM ON ELASTIC AND METAMATERIAL FOUNDATIONS

2020 ◽  
Vol 14 (1) ◽  
pp. 52-62
Author(s):  
A. O. Oyelade ◽  
O. M. Sadiq
Keyword(s):  
Timoshenko Beam ◽  
Damping Ratio ◽  
Reference Beam ◽  
Negative Stiffness ◽  
Flexural Wave ◽  
Flexural Waves ◽  
Static Stiffness ◽  
Damping Characteristics ◽  
Simulation Results ◽  
Flexural Wave Propagation

An analytical model is developed for the flexural wave propagation of a continuous Timoshenko beam resting on elastic and metamaterial foundations. The metamaterial foundation consists of positive and negative springs with a damper. This added negative stiffness component is constructed in such a way to provide the same static stiffness and the same damping component with the equivalent reference beam on elastic foundation. Numerical examples are used to investigate the effect of the shear on wavenumber and damping for beam with elastic and metamaterial foundations. The effects of engineering safety, damping coefficient and resonating mass on the dissipative property of the beam is investigated analytically. The simulation results provide indication of an enhanced damping characteristics for the damping ratio of the flexural waves propagating within the beam.

A Study of the Propagation of Flexural Waves in Elastic Beams

1957 ◽  
Vol 24 (3) ◽  
pp. 431-434
Author(s):  
E. A. Ripperger ◽  
H. Norman Abramson
Keyword(s):  
Wave Propagation ◽  
Cross Sections ◽  
Main Pulse ◽  
Experimental Results ◽  
Flexural Wave ◽  
Wave System ◽  
Flexural Waves ◽  
Elastic Beams ◽  
Theoretical Predictions ◽  
Flexural Wave Propagation

Abstract Experimental results for flexural wave propagation in elastic beams of circular cross sections resulting from very sharp impacts are presented. It is noted that a well-defined wave system precedes the main pulse. The experimental results are correlated with theoretical predictions from both the Pochhammer-Chree and Timoshenko theories.

Study of flexural wave propagation through a cable stayed beam subjected to a moving load

2022 ◽  
pp. 136943322110632
Author(s):  
Jianyi Ji ◽  
Ronghui Wang ◽  
Niujing Ma ◽  
Kunhong Huang ◽  
Xiang Zhang
Keyword(s):  
Wave Propagation ◽  
Moving Load ◽  
Near Field ◽  
Flexural Wave ◽  
Radius Of Gyration ◽  
Propagation Characteristics ◽  
Flexural Waves ◽  
Cable System ◽  
Flexural Wave Propagation ◽  
Field Wave

A physical perspective of the propagation and attenuation of flexural waves is presented in this paper for the dynamic behaviors of cable stayed beams subjected to a moving load. Based on the method of reverberation-ray matrix (MRRM), the waveform solutions of the wave equations of a simplified beam-cable system subjected to a moving load (hereinafter referred to as a beam-cable system) are given, and the theory is verified by a numerical example. The dynamic response of cable stayed beams is decomposed into nine kinds of flexural waves, including traveling waves, near-field waves, and nondispersive waves, according to the wavenumber characteristics. Numerical examples are analyzed to demonstrate the propagation characteristics of flexural waves through cable stayed beams. Numerical results show that the flexural waves in the cable stayed beams are mainly low-frequency waves whose frequencies are less than 3 times the structural fundamental frequency, which can be used to further improve the computational efficiency of response analysis method based on MRRM, and the proportion of high-frequency components increases gradually with increasing structural stiffness. The near-field wave can be transformed into a traveling shear wave when its frequency is larger than the critical frequency, which decreases with increasing radius of gyration and decreasing elastic modulus of the beam. With the increase in the radius of gyration and the elastic modulus of the beam, the attenuation effect of the near-field wave weakens. The wave velocity and the wave dispersion effect have a positive correlation with the stiffness-related parameters of the beam-cable system. The study of the effect of the beam-cable system parameters on flexural wave propagation characteristics can be applied to achieve a better dynamic design for engineering structures.

Flexural Waves in a Periodic Beam

1990 ◽  
Vol 57 (3) ◽  
pp. 779-783 ◽  
Author(s):  
Sen Yung Lee ◽  
Huei Yaw Ke ◽  
Ming Jang Kao
Keyword(s):  
Wave Propagation ◽  
Band Structure ◽  
Dispersion Equation ◽  
Standing Wave ◽  
Brillouin Zone ◽  
The Other ◽  
Flexural Wave ◽  
Flexural Waves ◽  
Flexural Wave Propagation ◽  
Symmetry Structure

The flexural wave propagation in the periodic beam can be interpreted as the superposition of two pairs of waves propagating in opposite directions. One of them forms an attenuated standing wave. The dispersion spectrum of the other pair of waves shows the band structure, consisting of stopping and passing bands. For the symmetry structure, the dispersion equation at the end points of Brillouin zone is uncoupled into two equations. Each of them corresponds to a standing wave which is either symmetric or antisymmetric about the midplane of the layers.

Effects of Axial Load and Elastic Matrix on Flexural Wave Propagation in Nanotube With Nonlocal Timoshenko Beam Model

2012 ◽  
Vol 134 (3) ◽  
Author(s):  
Yi-Ze Wang ◽  
Feng-Ming Li ◽  
Kikuo Kishimoto
Keyword(s):  
Wave Propagation ◽  
Carbon Nanotube ◽  
Timoshenko Beam ◽  
Axial Load ◽  
Elastic Matrix ◽  
Wave Number ◽  
Flexural Wave ◽  
Beam Model ◽  
Timoshenko Beam Model ◽  
Flexural Wave Propagation

In this paper, the effects of the axial load and the elastic matrix on the flexural wave in the carbon nanotube are studied. Based on the nonlocal continuum theory and the Timoshenko beam model, the equation of the flexural wave motion is derived. The dispersion relation between the frequency and the wave number is illustrated. The characteristics of the flexural wave propagation in the carbon nanotube embedded in the elastic matrix with the axial load are analyzed. The wave frequency and the phase velocity are presented with different wave numbers. Furthermore, the small scale effects on the wave properties are discussed.

Flexural Wave Propagation in an Elastic Beam With Periodic Structure

1992 ◽  
Vol 59 (2S) ◽  
pp. S189-S196 ◽  
Author(s):  
Sen Yung Lee ◽  
Huei Yaw Ke
Keyword(s):  
Wave Propagation ◽  
Periodic Structure ◽  
Elastic Beam ◽  
Fundamental Solutions ◽  
Flexural Wave ◽  
Flexural Waves ◽  
Floquet Waves ◽  
Special Relationships ◽  
Flexural Wave Propagation

The theory of flexural waves in an elastic beam with periodic structure is developed in terms of Floquet waves. Special relationships have been determined among the fundamental solutions of the governing equation. Two lemmas about the properties of the fundamental solutions are proved. With the help of these relations and lemmas, the analysis and classification of the dynamic nature of the problem is greatly simplified. We show that the flexural wave propagation in a periodic beam can be interpreted as the superposition of two pairs of waves propagating in opposite directions, of which one pair behaves as an attenuated wave. The dispersion spectrum of the second pair of waves shows the band structure, consisting of stopping bands and passing bands. Exploiting the symmetry of the structure, the dispersion equation at the end points of Brillouin zones is uncoupled into two simpler equations. These uncoupled equations represent the dispersion spectrum of waves which are either symmetric, or antisymmetric.

scholarly journals Research on Damping Characteristics of Interconnected Hydropneumatic Suspension considering the Effects of Hose and Check Valve

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Hongmin Zhang ◽  
Xin Fang
Keyword(s):  
Numerical Simulation ◽  
Energy Method ◽  
Damping Ratio ◽  
Check Valve ◽  
Nonlinear Stiffness ◽  
Calculation Formula ◽  
Damping Force ◽  
Damping Characteristics ◽  
Simulation Results ◽  
Stiffness And Damping

The interconnected hydropneumatic suspension (ICHPS) has not only the nonlinear stiffness and damping of the independent hydropneumatic suspension (IDHPS) but also antiroll and antipitch functions. The existing analysis of hydropneumatic suspension damping mainly focuses on the orifice and check valve in the suspension cylinder. In this study, the calculation formula of the damping force of ICHPS is established, and the numerical simulation results show that the damping characteristics of the hydraulic hose cannot be ignored. The influence of check valve and hose on the damping characteristics is analyzed. Through the equivalent energy method, the equivalent compression damping ratio and the equivalent recovery damping ratio of the ICHPS are established. It is pointed out that when designing the damping characteristics of the ICHPS, it is necessary to select the orifices, check valves, and hose damping reasonably to make the damping characteristics get the best match.

Flexural Wave Propagation in a Fluid-Loaded Elastic Plate With Periodically Varying Rigidity

1997 ◽  
Vol 119 (3) ◽  
pp. 415-419 ◽  
Author(s):  
M. A. Hawwa ◽  
A. H. Nayfeh
Keyword(s):  
Wave Propagation ◽  
Elastic Plate ◽  
Multiple Scales ◽  
Method Of Multiple Scales ◽  
Acoustic Radiation ◽  
Flexural Wave ◽  
Flexural Waves ◽  
Bragg Condition ◽  
Coupled Mode ◽  
Flexural Wave Propagation

The method of multiple scales is utilized to analyze the propagation of flexural waves in a fluid-loaded elastic plate with periodically varying rigidity. Subsonic modes are coupled under a Bragg condition imposed by the parametric periodicity, leading to a strong stopband interaction. This interaction is analytically described by two coupled-mode equations. The results might be utilized to avoid the undesirable acoustic radiation occurring when subsonic waves encounter a discontinuity.

scholarly journals Flexural Wave Propagation in Beam with Dispersion

1984 ◽  
Vol 27 (231) ◽  
pp. 2008-2015 ◽  
Author(s):  
Kenzou NONAMI ◽  
Noboru TOMINARI ◽  
Takayoshi TOTANI
Keyword(s):  
Wave Propagation ◽  
Flexural Wave ◽  
Flexural Wave Propagation
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