Frequency‐Averaged Power Flow into a One‐Dimensional Acoustic System

1971 ◽  
Vol 50 (1B) ◽  
pp. 373-381 ◽  
Author(s):  
Terry D. Scharton
Keyword(s):  
Power Flow ◽  
Acoustic System ◽  
One Dimensional

Study of Acoustic System Characteristics of Ultrasonic Machining Based on Similarity Principle

2012 ◽  
Vol 565 ◽  
pp. 639-643
Author(s):  
Ping Yan Bian ◽  
Bo Zhao ◽  
Zhe Liu
Keyword(s):  
Significant Influence ◽  
Ultrasonic Machining ◽  
Acoustic System ◽  
Vibration System ◽  
One Dimensional ◽  
System Parameters ◽  
Similarity Principle ◽  
Load Mode ◽  
System Characteristics ◽  
Cutting Modes

Based on similarity principle, cutting modes of turning, milling, grinding etc are equivalent to three load forms of dot, line and face. And three different loads of dot, line and face are applied on the nano-ZrO2 workpiece by three different indenter models of dot, line and face. To one-dimensional ultrasonic vibration system, the influence is studied which is of different load forms and different load magnitudes on acoustic system characteristics of ultrasonic machining. The experimental results show that, the change of loads has little influence on the acoustic system parameters of ultrasonic machining when the load modes on the nano-ZrO2 workpiece are dot and line. And when the load mode is surface contact, the change of loads has significant influence on the acoustic system parameters of ultrasonic machining.

Damage Analysis of One-Dimensional Euler–Bernoulli Cracked Beam with Traveling Wave Method

2017 ◽  
Vol 09 (04) ◽  
pp. 1750048 ◽  
Author(s):  
Ya-Qiong Tang ◽  
Tuan-Jie Li ◽  
Qiong-Yao Yan
Keyword(s):  
Traveling Wave ◽  
Power Flow ◽  
Continuous Model ◽  
Analytic Solutions ◽  
Wave Method ◽  
Cracked Beam ◽  
Bending Vibration ◽  
One Dimensional ◽  
Flow Response ◽  
Traveling Wave Method

Based on the elastic fracture mechanics, we establish a continuous model of one-dimensional Euler–Bernoulli cracked beam using the traveling wave method, and analyze the damage characteristics of cracked beam through the changes of deflection and power flow response. First, the control equation of bending vibration of healthy beam is deduced by traveling wave method. Then, the reflection and transmission matrices of waves at force point, constraint point, crack point are derived. The analytic solutions of deflection and power flow are expressed explicitly as the function of crack location and size. The effects of crack width and depth on deflection and power flow response of cracked beam are revealed. Finally, the numerical example illustrates the effectiveness of the proposed method.

scholarly journals Analytical Calculation of Power Flow in Three Coupled Oscillators and its Application to One Dimensional Crystal

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Chifu Ebene Ndikilar ◽  
Sofwan I. Saleh ◽  
Hafeez Yusuf Hafeez ◽  
Lawan Sani Taura
Keyword(s):  
White Noise ◽  
Coupled Oscillators ◽  
Power Flow ◽  
Equations Of Motion ◽  
Analytical Calculation ◽  
Asymptotic Value ◽  
One Dimensional ◽  
Two Systems ◽  
Dimensional Crystal ◽  
Equations Of Motions

The motion of a system consisting of three coupled oscillators of three masses attached together by four springs is studied analytically. The system is used as a model to describe the interactions between atoms in a one dimensional crystal with spring-like forces under white noise excitations.  Two different cases are considered and the frequencies of oscillations are obtained as well as the equations of motion.  The equations of motions are used to determine the power flow in the systems. The power flow determined is used to describe the effects of substitution impurities in a crystal. The power flow of the two systems studied decreases exponentially with increase in frequency to an asymptotic value.

Broadband modulation of subwavelength topological interface states in a one-dimensional acoustic system

2020 ◽  
Vol 116 (1) ◽  
pp. 013102 ◽  
Author(s):  
Zhenyu Wang ◽  
Degang Zhao ◽  
Jinlong Luo ◽  
Rongli Wang ◽  
Hai Yang
Keyword(s):  
Interface States ◽  
Acoustic System ◽  
One Dimensional ◽  
Broadband Modulation

The Modal Formulation and Adaptive-Passive Control of the Nonself-Adjoint One-Dimensional Acoustic System With a Mass-Spring Termination

1999 ◽  
Vol 66 (1) ◽  
pp. 242-249
Author(s):  
V. Jayachandran ◽  
J. Q. Sun
Keyword(s):  
Passive Control ◽  
Noise Control ◽  
Numerical Study ◽  
Adjoint Operator ◽  
Forced Response ◽  
Interior Noise ◽  
Single Frequency ◽  
Acoustic System ◽  
One Dimensional ◽  
Mass Spring

This paper investigates the use of mass-spring type of impedances as absorbing elements for interior noise control. The general modal formulation for a one-dimensional acoustic system terminated by a spring-supported piston is presented. The boundary value problem has a nonself-adjoint operator which renders the mode functions unorthogonal. This is overcome by defining an associated self-adjoint operator in Hilbert space and using an operator-theoretic formulation of the problem. Orthogonal mode functions and an expansion theorem are presented which can be used to construct a series solution for the forced response. A numerical study is performed for the case of single frequency excitation in which the impedance parameters are optimized by minimizing the cost function. The results from the numerical simulations indicate the feasibility of interior noise control using tunable mechanical impedances, and provide guidelines and restrictions in designing such a system.

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