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001			281505
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007			cr nn 008mamaa
008			150903s2011 xxu| o |||| 0|eng d
020			_a9780817682415 _99780817682415
024	7		_a10.1007/9780817682415 _2doi
035			_avtls000333712
039		9	_a201509030218 _bVLOAD _c201404130519 _dVLOAD _c201404092308 _dVLOAD _y201402041118 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA431
100	1		_aThomson, Gavin R. _eautor _9307233
245	1	0	_aStationary Oscillations of Elastic Plates : _bA Boundary Integral Equation Analysis / _cby Gavin R. Thomson, Christian Constanda.
264		1	_aBoston : _bBirkhäuser Boston, _c2011.
300			_axiii, 230 páginas 4 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aPreface -- The Mathematical Models -- Layer Potentials -- The Nonhomogenous System -- The Question of Uniqueness for the Exterior Problems -- The Eigenfrequency Spectra of the Interior Problems -- The Question of Solvability -- The Direct Boundary Equation Formulation -- Modified Fundamental Solutions -- Problems with Robin Boundary Conditions -- The Transmission Problem -- The Null Field Equations -- Appendices -- References -- Index.
520			_aElliptic partial differential equations are important for approaching many problems in mathematical physics, and boundary integral methods play a significant role in their solution. This monograph investigates the latter as they arise in the theory characterizing stationary vibrations of thin elastic plates. The techniques used reduce the complexity of classical three-dimensional elasticity to a system of two independent variables, using eigenfrequencies to model problems with flexural-vibrational elastic body deformation and simplifying these problems to manageable, uniquely solvable integral equations. In under 250 pages, Stationary Oscillations of Elastic Plates develops an impressive amount of theoretical machinery. After introducing the equations describing the vibrations of elastic plates in the first chapter, the book proceeds to explore topics including the single-layer and double-layer plate potentials; the Newtonian potential; the exterior boundary value problems; the direct boundary integral equation method; the Robin boundary value problems; the boundary-contact problem; the null field equations. Throughout, ample time is allotted to laying the groundwork necessary for establishing the existence and uniqueness of solutions to the problems discussed. The book is meant for readers with a knowledge of advanced calculus and some familiarity with functional analysis. It is a useful tool for professionals in pure and applied mathematicians, as well as for theoretical physicists and mechanical engineers with practices involving elastic plates. Graduate students in these fields would also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aConstanda, Christian. _eautor _9305511
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817682408
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-8241-5 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c281505 _d281505