Study on the Sound Radiation Directivity of a Railway Wheel and the Relationship between Directivity and Mode Shape

Author(s):  
J. Han ◽  
X. B. Xiao ◽  
R. Q. Wang ◽  
X. Zhao ◽  
G. T. Zhao ◽  
...  
2021 ◽  
Vol 263 (3) ◽  
pp. 3362-3368
Author(s):  
Víctor Andrés ◽  
Jose Martínez-Casas ◽  
Javier Carballeira ◽  
Francisco Denia

In this work, a vibroacoustic model is developed to predict the dynamic response and sound radiation of an axisymmetric railway wheel under a non-axisymmetric excitation. To do this, first, the energy equation of the wheel is analytically integrated along the circumferential direction after an expansion of its response as Fourier series. Then, the vibrational dynamics of the three-dimensional wheel is solved through a set of two-dimensional problems which come from that integration. Subsequently, the three-dimensional sound radiation of the railway wheel is calculated from the solution of the aforementioned two-dimensional problems by means of analytical relations based on the harmonic distribution of the dynamics in the circumferential coordinate. Additionally, the wheel rotation is introduced in the model using an eulerian approach, in order to consider the associated gyroscopic and inertial effects. The proposed model presents a greater computational efficiency compared to full three-dimensional methodologies, without compromising the precision of the results. This allows the implementation of the sound radiation calculation in optimization algorithms with the aim of achieving quieter designs of railway wheels.


2002 ◽  
Vol 253 (2) ◽  
pp. 401-419 ◽  
Author(s):  
D.J. THOMPSON ◽  
C.J.C. Jones

2019 ◽  
Vol 19 (10) ◽  
pp. 1950124 ◽  
Author(s):  
Wen-Yu He ◽  
Jian He ◽  
Wei-Xin Ren

Mode shapes estimated from the vehicle responses are normally used to detect bridge damage efficiently for their high spatial resolution. However, an updated baseline finite element model (FEM) is normally required to quantify damages for such an approach. A two-stage damage detection procedure is presented for bridges by utilizing the mode shape estimated from a moving vehicle. Damage locations are first determined through a damage localization index (DLI) defined by regional mode shape curvature (RMSC). Then the relationship between the damage extents and the RMSC changes is investigated by FEM simulation. Finally, an equation set to quantify the single and multiple damages is deduced by combining the RMSCs and the relationship between the damage extents and the RMSC changes established by an un-updated FEM. Numerical and experimental examples are carried out to verify the validity and efficiency of the two-stage method. The results revealed that it can localize and quantify damages with satisfactory precision by using the response measured from one sensor only.


2016 ◽  
Vol 35 (4) ◽  
pp. 291-302 ◽  
Author(s):  
He-Xuan Hu ◽  
Bo Tang ◽  
Yang Zhao

This paper presents computation of structural sound power and sound radiation modes, combined with structural dynamic equations to obtain the coupling relationship between sound and structures. As a result, the relationship between sound radiation modes of structures and structural vibration modes is established. The influence of the number and position of optimal secondary force sources on control of sound radiation modes is considered. Results show that sound radiation efficiency of sound radiation modes at the first order was more than that of sound radiation modes at other orders. The main diagonal element of coupling matrix between modes and sound radiation impedances was more than elements at other positions. Sound radiation modes at the first order were dominant sound radiation modes. When the number of secondary force sources was 4, the sound radiation power of structures was the lowest. Four force sources were taken as the basis to conduct on the related experiments in the anechoic chamber and compare with the computational result. Their results had a good consistency, which showed that the mentioned theory method was effective. Finally, the control strategy was applied to roofs of the vehicle. Experiments verified that sound pressure level of the driver in the low frequency was obviously improved, which remedied the defect of other optimization strategies for solving noises in the low frequency.


2011 ◽  
Vol 295-297 ◽  
pp. 2201-2204
Author(s):  
Zhen Wang ◽  
Da Li Chen ◽  
Hong Jian Zhao

From the theory of structure-bone sound radiation, the properties of vibration and noise of scroll compressor are analyzed, and the relationship of them is researched. On the basis of the analysis, the feasibility for measuring noise level using vibration signal is demonstrated. Then, the noise radiant efficiency curve is plotted using the test data, and disadvantages of this mean are pointed out. At last, a new method of measuring noise level using vibration signal, which is proved in practice effectively, is presented based on neural network.


1993 ◽  
Vol 115 (2) ◽  
pp. 207-209
Author(s):  
D. Y. Hwang ◽  
W. A. Foster

A general solution for the third-order partial differential equations for the axisymmetric free vibration of thin isotropic shallow spherical shells with a rigid insert is presented in this paper. The frequency equation in terms of Bessel functions as well as modified Bessel functions is solved for the fundamental vibrational frequency and mode shape. Both linear and non-linear boundary conditions are applied and the results are compared. The relationship between the vibrational frequency, mode shape and the size of the rigid insert is discussed.


2012 ◽  
Vol 220-223 ◽  
pp. 1435-1439 ◽  
Author(s):  
Shan Bao Pei ◽  
Rong Zhong Liu

The relationship between the sound power and the stimulated frequency of thin plate is analyzed, and the influence from frequency is also introduced. The result presents the characteristic of thin plate sound radiation when the stimulated frequency approaches the natural frequency, while radiation difference of the square plate and the rectangular plate is also given. The analytical results present the guide for low noise design of thin plate in engineering.


2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
Liye Zhang ◽  
Ye Xia ◽  
Jose A. Lozano-Galant ◽  
Limin Sun

Identification of the mode shapes through monitoring is one of the key problems in damage diagnosis based on modal parameters especially for damaged structures. In order to obtain mode shapes of damaged structures easily and accurately, the mass-stiffness combined perturbation (MSCP) method is proposed in this paper. To do so, the relationship between the stiffness perturbation mode shapes of damaged and intact structures is firstly derived and established. Then, the principle of similar frequency is applied to optimize the objective function of the most suitable mass perturbation model. Both numerical analyses and experimental tests on simple and complex structures demonstrate that the proposed MSCP method achieves higher precision than traditional mode shape identification methods. The additional advantages of the MSCP method include (i) lower requirement on the frequency analysis of only damaged structures and (ii) higher effectiveness for minor damage scenarios. In fact, the lower the damage, the higher the precision achieved by the MSCP method. As illustrated in the paper, the proposed technique has excellent applications in mode shapes identification and structural health monitoring.


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