A large-deflection theory of anisotropic plates

Ebcioglu, Ibrahim K.

doi:10.1007/bf00531897

Cited by 14 publications

(4 citation statements)

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“…Prioritizing many factors makes the most sense when the factors themselves are logical truth values. This is the case in Kemal Ebcioglu's CHORAL [16]. Among other things, CHORAL employs merit assessment to answer the question "What do I try next".…”

Section: Logical Factorsmentioning

confidence: 93%

“…Using mainly [my] own intuitions and empirical observations, [I] found a substantial number of heuristics for guiding the search, and imposed a priority upon these heuristics to handle conflicting cases. Examples of heuristics would be to continue a linear progression, or to follow a suspension by another one in the same voice [31]. The notion of a candidate, as developed earlier in connection with merit functions, is here relevant both to the "tactical" act of choosing an option during a single decision and to the "strategic" process of choosing which among the many paths we wish to take toward a complete solution.…”

Section: Musical Applicationsmentioning

confidence: 99%

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Quantifying musical merit

Ames¹

1992

Interface

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This paper surveys techniques for merit-based decision-making in automated composition and analysis. The paper has two parts, respectively covering the "tactics" and "strategy" of decision-making processes.Part I deals with functions used to assess a candidate's merit (or demerit) quantitatively. The "discrimination" or precision associated with a merit function determines whether it is suitable only for "black and white" judgments of acceptability or if it also can be used for "shades of grey" judgments of preference. Differences between absolute merit (magnitudes) and relative merit (distances) are briefly discussed. The bulk of Part 1 explores ways of reconciling several evaluative factors into a simple numerical measure: logical, additive, geometric, multiplicative, prioritized, and uniform. The introduction of a randomness is advised as a way of distinguishing candidates when their merit assessments would otherwise teeter at the knife edge.Part II discusses how merit functions may be used to guide a decision-making process to an acceptable, preferable, or even optimal solution. Distinction is drawn between "algorithmic" and "heuristic" procedures. Background is provided on heuristic reasoning, as first described by Polya. Newell, Shaw, and Simon's use of heuristics to guide a decision-making process efficiently toward an acceptable solution is contrasted with Ebcioglu's use of heuristics to obtain better-than-acceptable results. A survey of compositional and analytic applications compares relative strengths and weaknesses of different strategies including rote, random, "rule-based" or purely heuristic (e.g. sorting, conditional probability, the "Blackboard" model, Chomsky grammars), generate-and-test, heuristically guided search, and exhaustive search.

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Section: Logical Factorsmentioning

confidence: 93%

Section: Musical Applicationsmentioning

confidence: 99%

Quantifying musical merit

Ames¹

1992

Interface

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“…Linear and nonlinear (finite deflections) anisotropic thermoelastic theories have been presented by a number of investigators [11][12][13]. The linear anisotropic thermoelastic theory has been applied to many practical plate problems to establish deflections and stresses [14][15][16] and vibration characteristics [17] under thermal loads .…”

Section: K S Sivakumaranmentioning

confidence: 99%

“…Note that the functions 'I' and W expressed as series shown below satisfy all the boundary conditions(13) .…”

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confidence: 99%

Finite Deflections of Loosely Clamped Symmetrically Laminated Rectangular Plates Subjected to Temperature Fields

Sivakumaran

1990

Journal of Thermal Stresses

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This article is concerned with the geometrically nonlinear analy sis for the response ofsymmetrically laminated composite material rectangular plates subjected to transverse loads and temperature fields . The general nonlinear thermoelastic gov erning equations , based on von Karman large defle ction theory, are formulated f or plates subjected to temperature fields of special class where the temperature field may be assumed to be completely separable with respect to through thickness of the plate . Inertia effects and transverse shear effects are not considered. However, the governing equations include the thermomechanical coupling effects . Boundary conditions for loosely clamped edges are considered. Simultaneous determination of transverse deflection and the force function is achieved by expre ssing these quantities as double serie s involving appropriate beam eigenfunctions satisfying all the boundary conditions. Results corresponding to increasing transverse (aerodynamic) forces and thermal fi elds are included, indicating the sensibility of the stress and displacement fields to the class of lam inated plates under consideration .

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A Refined Theory of Elastic‐Plastic Shells at Moderate Rotations

Schmidt

Weichert

1989

Z Angew Math Mech

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Ein Variationsprinzip fur das Zuwachs-Randwertproblem anisotroper elastisch-plastischer Schalen mit klcinen I>ehnungen bei moderaten Rotationen und die dazugehorigen Zuwachs-Gleichgewichtsbedingungen werden i m Kahmen einer Schalentheorie hergeleitet, die Schubverformungen erster Ordnung berucbichtigt.A rate variational principle and the associated rate equations for anisotropic elastic-plastic shells undergoing small strains accompanied by moderate rotations are developed in the framework of first-order shear deformtion shell theory. B pawKax reoweTpHsem HenmxefiiHoP Teopun 060~109e~, ysHTbmamuefi yMepeHHbie noBopoTbi II rionepeq-mn2 c m m , nocTpoeH c~o p o c~~o f i sapuasuonmifi n p u~s u n EI CooTBeTcm ymune CKopocwme ypamema ~J I R ~H H~O T P O~H~I X ynpyronnacwsecmx oGonouerc.

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A large-deflection theory of anisotropic plates

Cited by 14 publications

References 0 publications

Quantifying musical merit

Quantifying musical merit

Finite Deflections of Loosely Clamped Symmetrically Laminated Rectangular Plates Subjected to Temperature Fields

A Refined Theory of Elastic‐Plastic Shells at Moderate Rotations

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