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100910s1988 ne a ob 001 0 eng d |
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|a OCLCE
|b eng
|e pn
|c OCLCE
|d OCLCQ
|d UIU
|d OCLCO
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|a 894791202
|a 899002113
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|a 9781483290140
|q (electronic bk.)
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|a 148329014X
|q (electronic bk.)
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|z 0444704949
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|z 9780444704948
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|a (OCoLC)663716150
|z (OCoLC)894791202
|z (OCoLC)899002113
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4 |
|a TA645
|b .B675 1988
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|a TEC
|x 009020
|2 bisacsh
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|a 624.1/7
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|a 33.11
|2 bcl
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|a SK 870
|2 rvk
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|a SK 970
|2 rvk
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|a MAT 910f
|2 stub
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| 100 |
1 |
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|a Brousse, Pierre.
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| 245 |
1 |
0 |
|a Optimization in mechanics :
|b problems and methods /
|c Pierre Brousse.
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| 260 |
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|a Amsterdam ;
|a New York :
|b North-Holland ;
|a New York, N.Y., U.S.A. :
|b Elsevier Science [U.S. & Canadian distributor],
|c 1988.
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| 300 |
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|a 1 online resource (xii, 279 pages) :
|b illustrations
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a North-Holland series in applied mathematics and mechanics ;
|v v. 34
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| 504 |
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|a Includes bibliographical references (pages 257-272) and index.
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| 588 |
0 |
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|a Print version record.
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|a Front Cover; Optimization in Mechanics: Problems and Methods; Copyright Page; Introduction; Table of Contents; Chapter 1. EXAMPLES; l.A Structures discretized by finite element techniques; 1.1 Structural analysis; 1.2 Optimization of discretized structures; 1.3 Objective function and constraints; 1.4 Statement of a general mass minimization problem; 1.5 Admissible regions. Restraint sets; 1.6 Example. A three bar framework; l.B Vibrating discrete structures. Vibrating beams. Rotating shafts; 1.7 Discrete structures; 1.8 Vibrations of beams; 1.9 Non-dimensional quantities; 1.10 Rotating shafts.
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|a 1.11 Relevant problemsl. C Plastic design of frames and plates. Mass and safety factor; 1.12 Frames; 1.13 Plates; l.D Tripod. Stability constraints ; 1.14 Presentation; 1.15 Reduction; 1.16 Solution; 1.17 An associated problem; l.E Conclusion; Chapter 2. BASIC MATHEMATICAL CONCEPTS WITH ILLUSTRATIONS TAKEN FROM ACTUAL STRUCTURES; 2.A Sets. Functions. Conditions for minima; 2.1 Space R -- 2.2 Infinite dimensional spaces; 2.3 Open sets. Closed sets; 2.4 Differentials; 2.5 Conditions for minima or maxima; 2.6 Minimization and maximization with equality constraints. Lagrange multipliers.
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|a 2.7 Euler theorems and Lagrange multipliers2.B Convexity; 2.8 Convex sets; 2.9 Structures subjected to several loadings; 2.10 Convex functions. Concave functions; 2.11 Minimization and maximization of convex or concave functions; 2.12 Generalizations of convexity and concavity; 2.13 Gradients and differentials of natural vibration frequencies; 2.14 Quasiconcavity and pseudoconcavity of the fundamental vibration frequencies in finite element theory; 2.15 Quasiconcavity and pseudoconcavity of the fundamental frequencies of vibrating sandwich continuous beams.
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|a Chapter 3. KUHN TUCKER THEOREM. DUALITY3.1 Introduction; 3.2 Farkas lemma; 3.3 Constraint qualification; 3.4 Kuhn Tucker theorem; 3.5 A converse of the Kuhn Tucker theorem; 3.6 Lagrangian. Saddle points; 3.7 Duality; 3.8 Solution to primal problem via dual problem; Chapter 4. ASSOCIATED PROBLEMS; 4.A Theorems; 4.1 Statements of the problem; 4.2 General theorems; 4.3 Use of equivalent problems; 4.4 Solving a problem when the solutions of an associated problem are known; 4.B Examples; 4.6 Problems associated with already solved problems.
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|a 4.7 Strength maximization and mass minimization of an elastic columnChapter 5. MATHEMATICAL PROGRAMMING NUMERICAL METHODS; 5.A. Unconstrained optimization; 5.1 Iterative methods; 5.2 Minimization on a given search line; 5.3 Relaxation method; 5.4 Descent directions; 5.5 Gradient methods; 5.6 Conjugate gradient methods; 5.7 Newton method. Quasi-Newton methods; 5.B. Constrained optimization; 5.8 Assumptions; 5.9 Reduction of a problem ^ t o a sequence of linear problems; 5.10 Gradient projection method; 5.11 Other projection methods; 5.12 Penalty methods.
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| 650 |
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|a Structural analysis (Engineering)
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| 650 |
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0 |
|a Structural design.
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| 650 |
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0 |
|a Mathematical optimization.
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| 650 |
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6 |
|a Th�eorie des constructions.
|0 (CaQQLa)201-0015598
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| 650 |
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6 |
|a Constructions
|x Calcul.
|0 (CaQQLa)201-0034510
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| 650 |
|
6 |
|a Optimisation math�ematique.
|0 (CaQQLa)201-0007680
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| 650 |
|
7 |
|a structural analysis.
|2 aat
|0 (CStmoGRI)aat300056397
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| 650 |
|
7 |
|a TECHNOLOGY & ENGINEERING
|x Civil
|x General.
|2 bisacsh
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| 650 |
|
7 |
|a Mathematical optimization
|2 fast
|0 (OCoLC)fst01012099
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| 650 |
|
7 |
|a Structural analysis (Engineering)
|2 fast
|0 (OCoLC)fst01135602
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| 650 |
|
7 |
|a Structural design
|2 fast
|0 (OCoLC)fst01135628
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| 650 |
|
7 |
|a Strukturmechanik
|2 gnd
|0 (DE-588)4126904-4
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| 650 |
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7 |
|a Optimierung
|2 gnd
|0 (DE-588)4043664-0
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| 650 |
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7 |
|a Constructions, Th�eorie des.
|2 ram
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| 650 |
|
7 |
|a Constructions
|x Calcul.
|2 ram
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| 650 |
|
7 |
|a Optimisation math�ematique.
|2 ram
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| 776 |
0 |
8 |
|i Print version:
|a Brousse, Pierre.
|t Optimization in mechanics.
|d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Elsevier Science [U.S. & Canadian distributor], 1988
|w (DLC) 88022616
|w (OCoLC)18291270
|
| 830 |
|
0 |
|a North-Holland series in applied mathematics and mechanics ;
|v v. 34.
|
| 856 |
4 |
0 |
|u https://sciencedirect.uam.elogim.com/science/book/9780444704948
|z Texto completo
|
