000			05068cam a2200637Ii 4500
001			ocn897466849
003			OCoLC
005			20171026075957.0
006			m o d
007			cr cnu---unuuu
008			141204s2014 enk o 001 0 eng d
020			_a9781118984444 _qelectronic bk.
020			_a1118984447 _qelectronic bk.
020			_a9781118984437 _qelectronic bk.
020			_a1118984439 _qelectronic bk.
020			_z9781848216389
020			_z1848216386
029	1		_aAU@ _b000054319028
029	1		_aNZ1 _b15921652
029	1		_aGBVCP _b815185634
029	1		_aDEBBG _bBV042987757
029	1		_aDEBBG _bBV043397349
035			_a(OCoLC)897466849
040			_aN$T _beng _erda _epn _cN$T _dN$T _dIDEBK _dYDXCP _dCDX _dDG1 _dOCLCF _dDEBBG _dEBLCP
049			_aMAIN
050		4	_aTA645
072		7	_aTEC _x009020 _2bisacsh
082	0	4	_a624.170151 _223
100	1		_aIlanko, Sinniah, _eauthor.
245	1	4	_aThe Rayleigh-Ritz method for structural analysis / _cSinniah Ilanko, Luis E. Monterrubio ; with editorial assistance from Yusuke Mochida. _h[electronic resource]
264		1	_aLondon : _bISTE ; Hoboken, NJ : Wiley, _c2014.
300			_a1 online resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMechanical engineering and solid mechanics series
500			_aIncludes index.
505	0		_aTitle 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
505	8		_a4.2. 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
505	8		_a7 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
505	8		_a9.3. 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
505	8		_a11.1. 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
588	0		_aPrint version record.
650		0	_aStructural analysis (Engineering) _xMathematics.
650		0	_aResonant vibration.
650		7	_aTECHNOLOGY & ENGINEERING / Civil / General _2bisacsh
650		7	_aResonant vibration. _2fast _0(OCoLC)fst01095620
650		7	_aStructural analysis (Engineering) _xMathematics. _2fast _0(OCoLC)fst01135611
655		4	_aElectronic books.
700	1		_aMonterrubio, Luis E., _eauthor.
700	1		_aMochida, Yusuke, _econtributor.
776	0	8	_iPrint version: _aIlanko, Sinniah, author. _tRayleigh-Ritz method for structural analysis _z9781848216389 _w(OCoLC)892870220
830		0	_aMechanical engineering and solid mechanics series.
856	4	0	_uhttp://onlinelibrary.wiley.com/book/10.1002/9781118984444 _zWiley Online Library
942			_2ddc _cBK
999			_c207782 _d207782