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Optimal Control Analysis of Self-excited Oscillation of an Inclined Taut Cable under Wind Loading
ZHANG Wei; YING Zu-guang; WANG Jian-wen
2012, 32 (
3
): 21-24. DOI:
10.3969/j.issn.1006-1355.2012.03.005
Abstract
（
1447
）
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The optimal control of self-excited oscillation of an inclined taut cable with multi-modes under wind loading is studied. The nonlinear equations of motion are derived for the cable with control and wind forces. The partial differential equation for transverse cable vibration is obtained and converted into ordinary differential equations by using the Galerkin method, that describe the self-excited oscillation of the multi-mode system. Then based on the dynamical programming principle, the HJB equation is established and the optimal nonlinear control force is determined. The analytical solutions of the controlled system in self-excited oscillation are obtained by using the averaging method. The analytical and numerical results show that the proposed control can effectively suppress the self-excited oscillation of the cable.
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Static Stiffness Calculation and Experimental Test of an Engine Mount for a Commercial Vehicle
ZHANG Wei;SHANGGUAN Wen-bin
2012, 32 (
1
): 72-76. DOI:
10.3969/j.issn.1006-1355-2012.01.017
Abstract
（
2070
）
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Three methods, including empirical formulas, finite element analysis and experimental test, are employed for studying a composite rubber mount of a commercial vehicle’s engine. Its three-dimensional static stiffness is obtained. Then relative errors of the three methods are analyzed and compared one another. The possible sources of the errors are given. However，the relative errors are found to be within the allowance (<15%) in engineering practice. Thus, as to this specific engine mount, the aforementioned methods for the three-dimensional static stiffness are acceptable and can shorten the cycle of product development.
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Stochastic Optimal Control of Spherically Symmetric Piezoelectric Shells
ZHANG Wei;SUN Yin;YING Zu-guang;FENG Ju
2012, 32 (
1
): 43-46. DOI:
10.3969/j.issn.1006-1355-2012.01.010
Abstract
（
1433
）
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The stochastic optimal control of a spherically symmetric piezoelectric shell under random boundary excitations is studied. The dynamic equilibrium equation, the kinetic equation, the charge conservative equation and the electrical and mechanical coupling constitutive equations of the piezoelectric shell are given. These equations and the performance parameters construct a stochastic optimal control problem. The electric potential integral is presented to convert the governing equations into a mechanical vibration equation. Using the displacement transformation and the Galerkin method, the partial differential vibration equation is converted into ordinary differential equations for optimal control. Based on the stochastic dynamical programming principle, the HJB equation is derived and then the optimal control electric potential for the piezoelectric shell is determined. The frequency-response function, response power spectrum density and correlation function matrices of the controlled shell system are presented for estimating the random response. Finally, numerical results are given to demonstrate the effectiveness of the stochastic optimal control of the piezoelectric shell.
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Analysis of Ecological Barrier’s Reduction of the Highway’s Traffic Noise
Zhang Wei-Chen
2011, 31 (
4
): 128-131. DOI:
10.3969/j.issn.1006-1355-2011.04.030
Abstract
（
1992
）
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The classic thin barrier is appropriate for the crowded city roads but not better for the suburb open-highway. Because the houses along the highway are diversified, and the government demanded to setup 10~20m areas along the road to build up some greenbelts, it is important for highway’s noise production by increasing the barrier thickness and making the suitable form combine barrier with greenbelts. On the base of the single-double diffraction for noise barrier theory in the GBT17247.2-1998 ‘Acoustics-attenuation of sound during propagation outdoors - Part 2 : General method of calculation’, and the ecological gradient-green’s real-time test, the ecological barrier has been developed at the aims of highway’s traffic noise reduction. The optimal-combination of the barrier’s height-width has been developed by the Cadna/A Software. The design of the ecological noise barrier is contributed not only to improve the sound quality of the environment of the area’s along the highway, but also to make the landscape around the highway more beauty. When the land value along the highway is increased, the benefits between the environment and the economy will be balanced better.
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Numerical Research on Stochastic Resonance Effect in Bistable System
XIA Jun-zhong;LIU Yuan-hong;MEI Jian-min;LEN Yong-gang;ZHANG Wei-feng
2011, 31 (
4
): 21-25. DOI:
10.3969/j.issn.1006-1355-2011.04.005
Abstract
（
2052
）
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The model of stochastic resonance in bistable system is analyzed based on adiabatic approximate theory. Ingredients of stochastic resonance, including system parameters, noise intensity, signal amplitude and frequency, are studied. It is concluded that there is an optimal noise intensity for the stochastic resonance system, and augmentation of the signal amplitude is favorable to the occurrence of stochastic resonance. However, the increase of signal frequency will cause the peak of signal in output power spectrum to leave the low-frequency area that noise energy concentrates on. It makes the peak of signal decrease rapidly and the stochastic resonance phenomena disappear gradually. For the fact that signal amplitude, frequency, noise intensity often exceed the requirements of small parameters in the adiabatic approximation theory and turn into large parameters, the re-scaling method for realization of stochastic resonance of large parameter signals is discussed.
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《Analysis and Experimental Study on Sound Absorption and Noise Reduction Performance of Some Composite Materials》
CAI He-shan;LI Xiao-xia;ZHANG Wei-bin
2010, 30 (
4
): 54-57. DOI:
10.3969/j.issn.1006-1355.2010.04.015
Abstract
（
2320
）
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Two kinds of composite sound absorption materials were prepared using plywood, sponge and foam as main materials. The sound absorption coefficients of these samples were tested through stationary wave tube method and their sound absorption and noise reduction properties were also compared. The results show that the sound absorption performance of the composite materials is remarkably better than those of single materials. In the sound absorption frequency spectrum, the absorption peak of the composite materials is located at 1 000 Hz. The sound absorption performance of the 46mm thick sample of plywoodfoam composite is the best. Its sound absorption coefficient can reach 95.5%. The noise reduction coefficients (NRC) of the composite materials are also obviously superior to those of single materials. The NRC of the three layers sample (36mm thick) of plywood sponge composite and the NRC of the four layers sample (46mm thick) of plywoodfoam composite can reach 0.39 and 0.36 respectively. It is shown that these two composite samples have a good performance in sound absorption and noise reduction. They can meet the needs of modern habitation circumstances.
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《Generic Criterion for Random MicroVibration of HighTech Precision Facilities》
ZHANG Wei;YING Zu-guang
2010, 30 (
1
): 112-113. DOI:
10.3969/j.issn.1006-1355.2010.01.112
Abstract
（
2016
）
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（529KB）（
1497
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The generic criterion for random microvibrations has a significant application in hightech field, such as vibrationsensitive precision facilities. First of all,the meansquareroot velocity of random micro vibration is introduced as a criterion. Different from the usual displacement and acceleration of vibration, this criterion describes both the statistical characteristics and centrefrequency effects of random disturbances. Then five microvibration levels are defined for disturbing environment according to various vibration sensitivities and requirements. And the corresponding uplimits and frequency spectrums of the meansquareroot velocities are given. Finally, application of the criterion, the meansquareroot velocity, is illustrated through an example of disturbing environment.
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