Screen LibraryFormulas for dynamics, acoustics and vibration /
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| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Published: |
John Wiley & Sons,
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| Publisher Address: | Hoboken, New Jersey : |
| Publication Dates: | 2015. |
| Literature type: | eBook |
| Language: | English |
| Edition: | First edition. |
| Series: |
Wiley series in acoustics noise and vibration
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| Subjects: | |
| Online Access: |
http://onlinelibrary.wiley.com/book/10.1002/9781119038122 |
| Item Description: |
Preface xi 1 Definitions, Units, And Deformation 134 4.1.2 Sandwich Beams 136 4.1.3 Beam Equation of Motion 137 4.1.4 Boundary Conditions and Modal Solution 137 4.1.5 Beams on Elastic Foundations 141 4.1.6 Simplification for Tubes 141 4.2 Natural Frequencies and Mode Shapes of Single-Span and Multiple-Span Beams 142 4.2.1 Single-Span Beams 142 4.2.2 Orthogonality, Normalization, and Maximum Values 150 4.2.3 Beams Stress 150 4.2.4 Two-Span Beams 151 4.2.5 Multispan Beams 151 4.3 Axially Loaded Beam Natural Frequency 158 4.3.1 Uniform Axial Load 158 4.3.2 Linearly Varying Axial Load 159 4.4 Beams with Masses, Tapered Beams, Beams with Spring Supports, And Shear Beams 162 4.4.1 Beams with Masses 162 4.4.2 Tapered and Stepped Beams 162 4.4.3 Spring-Supported Beams 167 4.4.4 Shear Beams 167 4.4.5 Effect of Shearing Force on the Deflections of Beams 170 4.4.6 Rotary Inertia 170 4.4.7 Multistory Buildings 174 4.5 Torsional and Longitudinal Beam Natural Frequencies 176 4.5.1 Longitudinal Vibration of Beams and Springs 176 4.5.2 Torsional Vibration of Beams and Shafts 179 4.5.3 Circular Cross Section 179 4.5.4 Noncircular Cross Sections 182 4.6 Wave Propagation in Beams 183 4.7 Curved Beams, Rings, and Frames 184 4.7.1 Complete Rings 184 4.7.2 Stress and Strain of Arcs 189 4.7.3 Supported Rings and Helices 190 4.7.4 Circular Arcs, Arches, And Bends 190 4.7.5 Lowest Frequency In-Plane Natural Frequency of an Arc 196 4.7.6 Shallow Arc 197 4.7.7 Portal Frames 198 References 199 5 Natural Frequency of Plates and Shells 203 5.1 Plate Flexure Theory 203 5.1.1 Stress and Strain 203 5.1.2 Boundary Conditions 203 5.1.3 Plate Equation of Motion 205 5.1.4 Simply Supported Rectangular Plate 206 5.1.5 Plates on Elastic Foundations 207 5.1.6 Sandwich Plates 207 5.1.7 Thick Plates and Shear Deformation 207 5.1.8 Membrane Analogy and In-Plane Loads 208 5.1.9 Orthogonality 208 5.2 Plate Natural Frequencies and Mode Shapes 209 5.2.1 Plate Natural Frequencies 209 5.2.2 Circular and Annular Plates 209 5.2.3 Sectorial and Circular Orthotropic Plates 214 5.2.4 Rectangular Plates 214 5.2.5 Parallelogram, 260 6.1.2 Acoustic Wave Equation 264 6.1.3 Decibels and Sound Power Level 276 6.1.4 Standards for Measurement 277 6.1.5 Attenuation and Transmission Loss (TL) 278 6.2 Sound Propagation in Large Spaces 285 6.2.1 Acoustic Wave Propagation 285 6.2.2 Sound Pressure on Rigid Walls 288 6.2.3 Mass Law for Sound Transmission 289 6.3 Acoustic Waves in Ducts and Rooms 289 6.3.1 Acoustic Waves in Ducts 289 6.3.2 Mufflers and Resonators 298 6.3.3 Room Acoustics 302 6.4 Acoustic Natural Frequencies and Mode Shapes 305 6.4.1 Structure-Acoustic Analogy 306 6.5 Free Surface Waves and Liquid Sloshing 310 6.6 Ships and Floating Systems 319 6.6.1 Ship Natural Frequencies (1/Period) 319 6.7 Added Mass of Structure in Fluids 321 6.7.1 Added Mass Potential Flow Theory 328 6.7.2 Added Mass 329 6.7.3 Added Mass of Plates and Shells 330 References 331. 7.5.1 Equivalent Static Loads 389 7.5.2 Scaling Mode Shapes to Load 389 References 391 8 Properties of Solids, Liquids, and Gases 392 8.1 Solids 392 8.2 Liquids 402 8.3 Gases 405 8.3.1 Ideal Gas Law 405 References 409 A Approximate Methods for Natural Frequency 410 A.1 Relationship between Fundamental Natural Frequency and Static Deflection 410 A.2 Rayleigh Technique 413 & |
| Carrier Form: | 1 online resource (xii, 448 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9781119038139 1119038138 9781119038214 1119038219 |
| Access: | Owing to Legal Deposit regulations this resource may only be accessed from within National Library of Scotland. For more information contact enquiries@nls.uk. |
| Index Number: | TA332 |
| CLC: | TB11-64 |