By Ernest Hinton BSc, MSc, PhD, SDc, CEng, MIStructE, MBCS, Johann Sienz BEng, DipI-Ing (FH), MSc, PhD, Dr-Phil (GB), CEng, MIMechE, Cmath, MIMA, Mustafa Özakça BSc, MSc, PhD (auth.)
Shell-type constructions are available virtually all over the place. they seem in average kinds but additionally as man-made, load-bearing elements in diversified engineering structures. Mankind has struggled to copy nature’s optimization of such constructions yet utilizing sleek computational instruments it truly is now attainable to examine, layout and optimise them systematically. research and Optimization of Prismatic and Axisymmetric Shell buildings beneficial properties: accomplished insurance of the historical past thought of shell constructions; improvement and implementation of trustworthy, artistic and effective computational instruments for static and free-vibration research and structural optimization of variable-thickness shells and folded-plate buildings; built-in computer-aided curve and floor modelling instruments and automated mesh iteration, structural research sensitivity research and mathematical programming equipment; well-documented, downloadable Fortran software program for those suggestions utilizing finite aspect and finite strip simulations which are without problems tailored by way of the reader for the answer of useful difficulties or to be used inside of a instructing or learn setting. Written by way of prime specialists in finite aspect and finite strip tools, research and Optimization of Prismatic and Axisymmetric Shell constructions could be of significant curiosity to researchers in structural mechanics and in automobile, aerospace and civil engineering in addition to to designers from all fields utilizing shell constructions for his or her strength-per-unit-mass advantages.
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Additional info for Analysis and Optimization of Prismatic and Axisymmetric Shell Structures: Theory, Practice and Software
11 Layout of the Book This book is divided into five parts and consists of 11 chapte rs and three appendices. Th e contents of each chapter are now briefly described. Part I: Introduction • Cha pter 2 presents the procedur es for shape definition and aut omat ic mesh generation for SORs and prismatic shells. • Chapte r 3 gives a brief overview of st ructura l opt imization before introducing some opt imizat ion techniques and methods for comput ing sensitivities. P art II: Static Analysis and Opt imizat ion • Th e basic FE formulation for SORs is presented and verified in Chapte r 4.
1 Three Equivalent Representations of a Parametric Cubic Spline As mentioned previously, a cubic Ferguson curve, a Bezier curve and a Bspline curve can each be used to represent a unique parametric cubic spline segment . Since we are basically interested in the computer implementation of these methods, it is convenient to represent them in matrix form. 2) and Rand M depend on the type of curve representation used. p'(I) . 2. Three equivalent representations of a cubic spline curve: Ferguson representation (top), cubic Bezier representation (middle) and cubic B-spline representation (bottom) Ferguson curve: the splines can be used to interpolate various quantities.
In topological optimization, topological variables define the pattern of connection of elements, regions or components or the number and spatial sequence of elements, joints and supports or the material distribution. In topological design, material is redistributed or elements are added or deleted during the design process and the analysis model, as well as the set of design variables, changes [19,20] . 4 Classification of Shells Because of the wide variety of shell structures encountered in practice, it is convenient to classify shells so that the analysis can be economized and simplified for certain classes of shell structures, such as shells of revolution (SORs) and cylindrical shells which have specialized geometry.
Analysis and Optimization of Prismatic and Axisymmetric Shell Structures: Theory, Practice and Software by Ernest Hinton BSc, MSc, PhD, SDc, CEng, MIStructE, MBCS, Johann Sienz BEng, DipI-Ing (FH), MSc, PhD, Dr-Phil (GB), CEng, MIMechE, Cmath, MIMA, Mustafa Özakça BSc, MSc, PhD (auth.)