{"product_id":"the-rayleigh-ritz-method-for-structural-analysis-hardback-9781848216389","title":"The Rayleigh-Ritz Method for Structural Analysis (Hardback) 9781848216389","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Rayleigh-Ritz Method for Structural Analysis\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eSinniah Ilanko (Author), Luis Monterrubio (Author), Yusuke Mochida (With)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781848216389, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 28 November 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e256 pages\u003cbr\u003e24.1 x 16.5 x 2.3 cm, 0.531 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eA presentation of the theory behind the Rayleigh-Ritz (R-R) method, as well as a discussion of the choice of admissible functions and the use of penalty methods, including recent developments such as using negative inertia and  bi-penalty terms.  While presenting the mathematical basis of the R-R method, the authors also give simple explanations and analogies to make it easier to understand. Examples include calculation of natural frequencies and critical loads of structures and structural components, such as beams, plates, shells and solids. MATLAB codes for some common problems are also supplied.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePREFACE xi\u003c\/p\u003e \u003cp\u003eINTRODUCTION AND HISTORICAL NOTES xiii\u003c\/p\u003e \u003cp\u003eCHAPTER 1. PRINCIPLE OF CONSERVATION OF ENERGY AND RAYLEIGH’S PRINCIPLE 1\u003c\/p\u003e \u003cp\u003eCHAPTER 2. RAYLEIGH’S PRINCIPLE AND ITS IMPLICATIONS 11\u003c\/p\u003e \u003cp\u003eCHAPTER 3. THE RAYLEIGH–RITZ METHOD AND SIMPLE APPLICATIONS 21\u003c\/p\u003e \u003cp\u003eCHAPTER 4. LAGRANGIAN MULTIPLIER METHOD 33\u003c\/p\u003e \u003cp\u003eCHAPTER 5. COURANT’S PENALTY METHOD INCLUDING NEGATIVE STIFFNESS AND MASS TERMS 39\u003c\/p\u003e \u003cp\u003eCHAPTER 6. SOME USEFUL MATHEMATICAL DERIVATIONS AND APPLICATIONS 55\u003c\/p\u003e \u003cp\u003eCHAPTER 7. THE THEOREM OF SEPARATION AND ASYMPTOTIC MODELING THEOREMS 67\u003c\/p\u003e \u003cp\u003eCHAPTER 8. ADMISSIBLE FUNCTIONS 81\u003c\/p\u003e \u003cp\u003eCHAPTER 9. NATURAL FREQUENCIES AND MODES OF BEAMS 89\u003c\/p\u003e \u003cp\u003eCHAPTER 10. NATURAL FREQUENCIES AND MODES OF PLATES OF RECTANGULAR PLANFORM 113\u003c\/p\u003e \u003cp\u003eCHAPTER 11. NATURAL FREQUENCIES AND MODES OF SHALLOW SHELLS OF RECTANGULAR PLANFORM 133\u003c\/p\u003e \u003cp\u003eCHAPTER 12. NATURAL FREQUENCIES AND MODES OF THREE-DIMENSIONAL BODIES 149\u003c\/p\u003e \u003cp\u003eCHAPTER 13. VIBRATION OF AXIALLY LOADED BEAMS AND GEOMETRIC STIFFNESS 161\u003c\/p\u003e \u003cp\u003eCHAPTER 14. THE RRM IN FINITE ELEMENTS METHOD 181\u003c\/p\u003e \u003cp\u003eBIBLIOGRAPHY 197\u003c\/p\u003e \u003cp\u003eAPPENDIX 203\u003c\/p\u003e \u003cp\u003eINDEX 229\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca title=\"See our other books on Mechanical engineering \u0026amp; materials\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mechanical%20engineering%20\u0026amp;%20materials%20%5BTG%5D%22\"\u003eTG\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-ISTE","offers":[{"title":"Brand New","offer_id":52449386529048,"sku":"9781848216389","price":112.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781848216389.jpg?v=1785197643","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-rayleigh-ritz-method-for-structural-analysis-hardback-9781848216389","provider":"Freshly Printed Books","version":"1.0","type":"link"}