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20170124071811.1 |
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141204s2014 enk o 001 0 eng d |
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|b eng
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|d YDXCP
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|a 9781118984444
|q electronic bk.
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|a 1118984447
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|a 9781118984437
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|a 1118984439
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|z 9781848216389
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|z 1848216386
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|a AU@
|b 000054319028
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|a NZ1
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|a DEBBG
|b BV042987757
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|a DEBBG
|b BV043397349
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|a (OCoLC)897466849
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|a TA645
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|a TEC
|x 009020
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|a 624.170151
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|a MAIN
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|a Ilanko, Sinniah,
|e author.
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4 |
|a The Rayleigh-Ritz method for structural analysis /
|c Sinniah Ilanko, Luis E. Monterrubio ; with editorial assistance from Yusuke Mochida.
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| 264 |
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|a London :
|b ISTE ; Hoboken, NJ : Wiley,
|c 2014.
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| 300 |
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|a 1 online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Mechanical engineering and solid mechanics series
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|a Includes index.
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|a Print version record.
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|a Title page; Copyright; Preface; Introduction and Historical Notes; 1 Principle of Conservation of Energy and Rayleigh's Principle; 1.1. A simple pendulum; 1.2. A spring-mass system; 1.3. A two degree of freedom system; 2 Rayleigh's Principle and its Implications; 2.1. Rayleigh's principle; 2.2. Proof; 2.3. Example: a simply supported beam; 2.4. Admissible functions: examples; 3 The Rayleigh-Ritz Method and Simple Applications; 3.1. The Rayleigh-Ritz method; 3.2. Application of the Rayleigh-Ritz method; 4 Lagrangian Multiplier Method; 4.1. Handling constraints
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|a 4.2. Application to vibration of a constrained cantilever5 Courant's Penalty Method Including Negative Stiffness and Mass Terms; 5.1. Background; 5.2. Penalty method for vibration analysis; 5.3. Penalty method with negative stiffness; 5.4. Inertial penalty and eigenpenalty methods; 5.5. The bipenalty method; 6 Some Useful Mathematical Derivations and Applications; 6.1. Derivation of stiffness and mass matrix terms; 6.2. Frequently used potential and kinetic energy terms; 6.3. Rigid body connected to a beam; 6.4. Finding the critical loads of a beam
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|a 7 The Theorem of Separation and Asymptotic Modeling Theorems7.1. Rayleigh's theorem of separation and the basis of the Ritz method; 7.2. Proof of convergence in asymptotic modeling; 7.3. Applicability of theorems (1) and (2) for continuous systems; 8 Admissible Functions; 8.1. Choosing the best functions; 8.2. Strategy for choosing the functions; 8.3. Admissible functions for an Euler-Bernoulli beam; 8.4. Proof of convergence; 9 Natural Frequencies and Modes of Beams; 9.1. Introduction; 9.2. Theoretical derivations of the eigenvalue problems
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|a 9.3. Derivation of the eigenvalue problem for beams9.4. Building the stiffness, mass matrices and penalty matrices; 9.5. Modes of vibration; 9.6. Results; 9.7. Modes of vibration; 10 Natural Frequencies and Modes of Plates of Rectangular Planform; 10.1. Introduction; 10.2. Theoretical derivations of the eigenvalue problems; 10.3. Derivation of the eigenvalue problem for plates containing classical constraints along its edges; 10.4. Modes of vibration; 10.5. Results; 11 Natural Frequencies and Modes of Shallow Shells of Rectangular Planform
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|a 11.1. Theoretical derivations of the eigenvalue problems11.2. Frequency parameters of constrained shallow shells; 11.3. Results and discussion; 12 Natural Frequencies and Modes of Three-Dimensional Bodies; 12.1. Theoretical derivations of the eigenvalue problems; 12.2. Results; 13 Vibration of Axially Loaded Beams and Geometric Stiffness; 13.1. Introduction; 13.2. The potential energy due to a static axial force in a vibrating beam; 13.3. Determination of natural frequencies; 13.4. Natural frequencies and critical loads of an Euler-Bernoulli beam
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| 650 |
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|a Structural analysis (Engineering)
|x Mathematics.
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| 650 |
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|a Resonant vibration.
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| 650 |
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7 |
|a TECHNOLOGY & ENGINEERING / Civil / General
|2 bisacsh
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| 650 |
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|a Resonant vibration.
|2 fast
|0 (OCoLC)fst01095620
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| 650 |
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7 |
|a Structural analysis (Engineering)
|x Mathematics.
|2 fast
|0 (OCoLC)fst01135611
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| 655 |
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4 |
|a Electronic books.
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| 700 |
1 |
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|a Monterrubio, Luis E.,
|e author.
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| 700 |
1 |
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|a Mochida, Yusuke,
|e contributor.
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| 776 |
0 |
8 |
|i Print version:
|a Ilanko, Sinniah, author.
|t Rayleigh-Ritz method for structural analysis
|z 9781848216389
|w (OCoLC)892870220
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| 830 |
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0 |
|a Mechanical engineering and solid mechanics series.
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| 856 |
4 |
0 |
|u https://doi.org/10.1002/9781118984444
|z Full Text via HEAL-Link
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| 994 |
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|a 92
|b DG1
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