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水平变化波导中声传播问题的高效稳定耦合简正波解 被引量:2
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作者 骆文于 张仁和 schmidt henrik 《声学学报》 EI CSCD 北大核心 2011年第6期568-578,共11页
提出了一种高效、精确而且数值稳定的耦合简正波方法,用于求解水平变化波导中的声传播问题。与现有的数值模型相比,本方法采用合理的归一化距离解,极大地提高了数值稳定性;通过结合一个前向传播过程和一个后向传播过程,该方法极大地提... 提出了一种高效、精确而且数值稳定的耦合简正波方法,用于求解水平变化波导中的声传播问题。与现有的数值模型相比,本方法采用合理的归一化距离解,极大地提高了数值稳定性;通过结合一个前向传播过程和一个后向传播过程,该方法极大地提高了计算精度,可用于精确求解水平变化波导中的声传播问题,尤其适用于大角度斜坡以及海底与海水声阻抗差别较大的问题;此外,通过采用单次散射近似,该方法极大地提高了计算效率,而且对计算条件要求较低。从数值结果可以看出,本方法是一种高效、精确而且数值稳定的求解水平变化波导声传播问题的耦合简正波方法。 展开更多
关键词 数值稳定性 水平变化 声传播 简正波 波导 耦合 精确求解 传播过程
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Characterization of a Powertrain Test Bed in the Context of Virtual Validation of Drivability
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作者 schmidt henrik Prokop GÜNTHER 《同济大学学报(自然科学版)》 EI CAS CSCD 北大核心 2024年第S01期9-19,共11页
Technological trends in the automotive industry toward a software-defined and autonomous vehicle require a reassessment of today’s vehicle development process.The validation process soaringly shapes after starting wi... Technological trends in the automotive industry toward a software-defined and autonomous vehicle require a reassessment of today’s vehicle development process.The validation process soaringly shapes after starting with hardware-in-the-loop testing of control units and reproducing real-world maneuvers and physical interaction chains.Here,the road-to-rig approach offers a vast potential to reduce validation time and costs significantly.The present research study investigates the maneuver reproduction of drivability phenomena at a powertrain test bed.Although drivability phenomena occur in the frequency range of most up to 30∙Hz,the design and characteristics substantially impact the test setup’s validity.By utilization of modal analysis,the influence of the test bed on the mechanical characteristic is shown.Furthermore,the sensitivity of the natural modes of each component,from either specimen or test bed site,is determined.In contrast,the uncertainty of the deployed measurement equipment also affects the validity.Instead of an accuracy class indication,we apply the ISO/IEC Guide 98 to the measurement equipment and the test bed setup to increase the fidelity of the validation task.In conclusion,the present paper contributes to a traceable validity determination of the road-to-rig approach by providing objective metrics and methods. 展开更多
关键词 powertrain test bed virtual validation modal analysis powertrain-hardware-in-the-loop DRIVABILITY measurement uncertainty
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Three-Dimensional Mode Coupling around a Conical Seamount and the Use of Random Discretization
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作者 骆文于 schmidt henrik 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第11期137-140,共4页
Three-dimensional mode coupling around a conical seamount in an ocean waveguide is studied. It is shown that strong mode coupling occurs at the edge of a conical seamount for the incident normal modes with significant... Three-dimensional mode coupling around a conical seamount in an ocean waveguide is studied. It is shown that strong mode coupling occurs at the edge of a conical seamount for the incident normal modes with significant amplitudes below the top of the seamount. Therefore, mode coupling is critical for the investigation of the acoustic field around a seamount. In addition, we suggest the use of random discretization for representing smoothly varying bathymetry. For the use of uniform discretization, when the horizontal step size is greater than half of the wavelength, artificial diffraction lobes appear due to coherent backscatter. However, by using the random discretization scheme instead, such artificial diffraction lobes are diffused, resulting in a faster convergence rate. 展开更多
关键词 Environmental and Earth science
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A Spectral Coupled-Mode Formulation for Sound Propagation around Axisymmetric Seamounts
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作者 骆文于 schmidt henrik 《Chinese Physics Letters》 SCIE CAS CSCD 2010年第9期131-134,共4页
A spectral coupled-mode solution of the three-dimensional (319) acoustic field generated by a point source in the presence o[ an axisymmetric seamount is developed. Based on the same theoretical foundation as the fo... A spectral coupled-mode solution of the three-dimensional (319) acoustic field generated by a point source in the presence o[ an axisymmetric seamount is developed. Based on the same theoretical foundation as the for- mulation presented by Taroudakis [3. Comput. Acoust. 4 (1996) 101], the present approach combines a spectral decomposition in azimuth with a coupled-mode theory for two-way range-dependent propagation. However, the earlier formulations are severely limited in terms of frequency, size and geometry o[ the seamount, the seabed composition, and the distance between the source and the seamount, and are there/ore severely limited in regard to realistic seamount problems. Without changing the fundamental theoretical foundation, the present approach applies a number of modifications to the formulation, leading to orders of magnitude improvement in numerical efficiency for realistic problems. Therefore, realistic propagation and scattering scenarios can be modeled, including effects of seamount roughness and realistic sedimentary structure. 展开更多
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Three-dimensional mode coupling around a seamount
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作者 LUO WenYu ZHANG RenHe schmidt henrik 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第9期1561-1569,共9页
A recently developed three-dimensional normal-mode model is adopted to investigate mode coupling around a seamount in a deep water environment. As indicated by the theoretical analysis and verified by the numerical re... A recently developed three-dimensional normal-mode model is adopted to investigate mode coupling around a seamount in a deep water environment. As indicated by the theoretical analysis and verified by the numerical results, strong mode coupling occurs at the edge of a seamount under certain conditions. Therefore, mode coupling is critical for the investigation of the acoustic field in the presence of a seamount. In addition, the issue regarding the number of sectors assuring convergence is also presented. This issue is important in a two-way coupled-mode approach, especially for solving three-dimensional problems, because the computational effort increases dramatically with the number of sectors in representing a varying bathymetry. The theoretical analysis as well as the numerical example in this paper shows that artificial diffraction lobes form in the event that uniform discretization is used with a horizontal step size greater than half of the acoustic wavelength. However, by using random discretization instead, such artificial diffraction lobes are diffused, resulting in a faster convergence rate. 展开更多
关键词 normal mode three-dimensional mode coupling SEAMOUNT
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A two-way marching coupled-mode method for range-dependent propagation
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作者 LUO Wenyu ZHANG Renhe schmidt henrik 《Chinese Journal of Acoustics》 2012年第4期371-391,共21页
An efficient, accurate, and numerically stable coupled-mode solution is presented for acoustic propagation in a range-dependent waveguide. This method is numerically stable due to the appropriately normalized range so... An efficient, accurate, and numerically stable coupled-mode solution is presented for acoustic propagation in a range-dependent waveguide. This method is numerically stable due to the appropriately normalized range solutions introduced in the formulation. In addition, by combining a forward marching and a backward marching, this method provides accurate solu- tions for range-dependent propagation problems, especially those characterized by large bottom slope angle and/or high impedance contrast between water and the bottom. Furthermore, this two-way solution also provides high efficiency, which is achieved by applying the single-scatter approximation. Numerical examples are also provided to demonstrate the efficiency, accuracy, and stability of this method. 展开更多
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