Large-Amplitude Nonlinear Pure Standing-Wave Fields

　　本书用传递矩阵法分析了截面突变的分节驻波管和截面渐变的驻波管的失谐性质。同时，将传递矩阵法推广用于分析截面逐渐变化的分节驻波管的失谐性质。在此基础上，利用由大口径高功率扬声器和锥形口组成声源，通过实验研究了如何在均匀截面、突变截面和锥形截面驻波管中获取大幅纯驻波场的方法及所获得的大振幅驻波场的非线性特性。此外，对这些驻波管中得到的大振幅纯驻波场的非线性特性进行了比较实验研究。研究结果为非线性驻波场理论的最终建立和非线性驻波场的实际应用提供了可靠的实验依据。

　　闵琦，1972年12月生。物理学教授，理学博士。2010年从中国科学院声学研究所马大猷先生创立的九室博士毕业，获理学博士学位，方向为物理声学。现担任教育部物理学教学专业指导委员会西南地区委员、教育部大学物理教学专业指导委员会西南地区委员、红河学院学术委员会专业委员会委员、红河学院工学院学术委员会委员，同时担任红河学院物理学科学术领衔人以及红河学院物理系教学团队带头人。近年来，主持国家自然科学基金项目2项，参与国家自然科学基金项目3项以及中科院三期知识创新工程重要方向资助项目1项，以学术领衔人和专业带头人主持红河学院学科建设、红河学院教学团队建设等校级项目多项。近年来，在国内外物理学、声学知名学术期刊如《Journal of the Acoustical Society of America》、《Physics Letters A》、《Applied Acoustics》、《Acoustical Physics》、《声学学报》、《物理学报》等同时以第一作者和通讯作者发表SCI、EI学术论文近20篇，并担任国内外声学顶级期刊《Applied Acoustics》和《声学学报》审稿人。由科学出版社出版专著1部，机械工业出版社出版教材2部和中国科技大学出版社出版教材1部。

Contents
Chapter 1Stepped Acoustic Resonator with an Abrupt Cross Section

1.1Introduction

1.2Transfer Matrix Method

1.3Experimental Setup

1.4Results

1.4.1Onestep Acoustic Resonator

1.4.2Twostep Acoustic Resonator

1.4.3Multistep Acoustic Resonator

1.5Conclusions

References

Chapter 2Acoustic Resonator with a Gradually Varying Cross Section

2.1Introduction

2.2Gradually Varying Shape and Sound Field

2.2.1Gradually Varying Geometric Shape

2.2.2Sound Field

2.3Transfer Matrix and Resonant Condition

2.3.1Transfer Matrix

2.3.2Resonant Condition

2.4Transfer Function and Phase

2.5Impedance

2.6Conclusions

References

Chapter 3Stepped Acoustic Resonator with a Smooth Transitional Section

3.1Introduction

3.2The Transfer Matrices of the Stepped Acoustic Resonator
with a Gradually Varying Crosssectional Area

3.3Transfer Function and Phase

3.4Impedance

3.5Conclusions

References





Chapter 4Largeamplitude Standingwave Fields in the Standingwave
Tube with a Uniform Cross Section
4.1Introduction

4.2Experimental Setup

4.3Results and Discussions

4.3.1Transfer Matrix and Resonance Frequencies

4.3.2Largeamplitude Standingwave Field Excited at Peak
Resonant Frequencies

4.3.3Largeamplitude Standingwave Field Excited at Valley
Resonant Frequencies

4.3.4Variation of the SPL of a Largeamplitude Standingwave
Field with the Driving Voltage

4.4Conclusions

References

Chapter 5Largeamplitude Standingwave Fields in the Stepped Standingwave
Tube with an Abrupt Cross Section
5.1Introduction

5.2The Stepped Standingwave Tube with Abrupt Cross Section

5.3Results and Discussions

5.3.1Transfer Function and Resonance Frequency

5.3.2Largeamplitude Sandingwave Fields Excited at Peak
Resonance Frequencies

5.3.3Largeamplitude Standingwave Fields Excited at Trough
Resonance Frequencies

5.3.4Fundamental Wave SPL of the Largeamplitude Standing
wave Field Excited at Resonance Frequencies

5.3.5Particle Velocity Peak of the Largeamplitude Standing
wave Field Excited at Resonance Frequencies

5.3.6Wave Distortion of the Largeamplitude Standingwave
Field Excited at Resonance Frequencies

5.4Conclusions

References

Chapter 6Largeamplitude Standingwave Fields in the Stepped
Standingwave Tube with a Tapered Cross Section
6.1Introduction

6.2The Stepped Standingwave Tube with a Tapered Cross Section

6.3Results and Discussions

6.3.1Transfer Function and Resonance Frequency

6.3.2Largeamplitude Sandingwave Fields Excited at Peak
Resonance Frequencies

6.3.3Largeamplitude Standingwave Fields Excited at Trough
Resonance Frequencies

6.3.4Fundamental Wave SPL of the Largeamplitude Standingwave
Field Excited at Resonance Frequencies

6.3.5Particle Velocity Peak of the Largeamplitude Standingwave
Field Excited at Resonance Frequencies

6.3.6Wave Distortion of the Largeamplitude Standingwave
Field Excited at Resonance Frequencies

6.4Conclusions

References

Chapter 7Comparison of the Generation of Extremely Nonlinear Pure
Standingwave Fields in a Standingwave Tube
7.1Introduction

7.2The Standingwave Tube

7.3Sound Pressure Transfer Function

7.4Extremely Nonlinear Standingwave Fields at the First
Resonance Frequency

7.4.1Waveform of the Extremely Nonlinear Standingwave Field

7.4.2Development of the Extremely Nonlinear
Standingwave Field

7.4.3Increase of the SPL with Driving Voltage

7.5Conclusions

References