Regular Lattice Plates and Shells
Published in October 1990
Book
Hardback
552 pages
978-0-444-98750-1 (ISBN)
Description
Over the last decade computerization has truly revolutionized structural engineering, attracting the attention of theoreticians, mathematicians and engineers to the problems of elastic and inelastic analysis of space structures. Lattice plates and shells, which are used at present in various engineering areas, are one of the progressive construction systems. The wide assortment of rolled profiles made of steel and aluminium, the elaboration of a broad range of details related to joints, permitting the interconnection of spatially oriented bars in a single node, have opened the way to the widespread application of these structures. However, new computation methods and procedures have to be continuously developed so that their application can become as general as possible, and suitable for algorithmization and utilizable with present-day computing techniques. This work focuses mainly on the analysis of the structure systems of regular lattice plates and shells, investigating their static, dynamic and stability behaviour, as well as problems related to their optimum design by present-day computation methods.
Over the last decade computerization has truly revolutionized structural engineering, attracting the attention of theoreticians, mathematicians and engineers to the problems of elastic and inelastic analysis of space structures. Lattice plates and shells, which are used at present in various engineering areas, are one of the progressive construction systems. The wide assortment of rolled profiles made of steel and aluminium, the elaboration of a broad range of details related to joints, permitting the interconnection of spatially oriented bars in a single node, have opened the way to the widespread application of these structures. However, new computation methods and procedures have to be continuously developed so that their application can become as general as possible, and suitable for algorithmization and utilizable with present-day computing techniques. This work focuses mainly on the analysis of the structure systems of regular lattice plates and shells, investigating their static, dynamic and stability behaviour, as well as problems related to their optimum design by present-day computation methods.
Over the last decade computerization has truly revolutionized structural engineering, attracting the attention of theoreticians, mathematicians and engineers to the problems of elastic and inelastic analysis of space structures. Lattice plates and shells, which are used at present in various engineering areas, are one of the progressive construction systems. The wide assortment of rolled profiles made of steel and aluminium, the elaboration of a broad range of details related to joints, permitting the interconnection of spatially oriented bars in a single node, have opened the way to the widespread application of these structures. However, new computation methods and procedures have to be continuously developed so that their application can become as general as possible, and suitable for algorithmization and utilizable with present-day computing techniques. This work focuses mainly on the analysis of the structure systems of regular lattice plates and shells, investigating their static, dynamic and stability behaviour, as well as problems related to their optimum design by present-day computation methods.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
College/higher education
Professional and scholarly
Illustrations
Illustrations
Dimensions
Height: 230 mm
ISBN-13
978-0-444-98750-1 (9780444987501)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
1. Structures of lattice plates and shells. Description of regular truss systems. Development and division of regular lattice plates and shells. Lattice plates and shells as discrete rod structures - space lattices in architecture. Realization of joints and the modes of supporting framed systems. Architecture of lattice structures related to bionics. Geometric composition and formation of the basic types of lattice meshes. Principles of framed systems implementation. Double-layer lattice plates. Implemented structures. 2. The geometric model of framed structures. Description of the basic elements. Parametrization of system V. Base systems, covariant and contravariant vectors. Partial and total vector difference. The transformation of basic vectors. Transformation relationships between the local and global coordinate systems of the framed structure. 3. Linear analysis of lattice plates and shells. Survey of methods. Direct methods. The method of continuum analogy. 4. Analysis of framed structure with the help of graph theory. Some concepts and definitions. Topological matrices or oriented graphs. Network interpretation of framed structure calculation. 5. Geometrically nonlinear analysis of lattices structures. Basic equations of the theory of finite displacements. Geometrical stiffness for a beam element. Basic numerical solution processes. Considering the effect of physical nonlinearity. Numerical example. 6. Stability analysis of lattice structures. Bar stability. Node stability. Loss of: local stability; overall stability. 7. Additional problems of the theoretical analysis of lattice structures. Ultimate load-carrying capacity. Optimum design of reticulated structures. The dynamics of lattice structures. 8. Experimental analysis of the stability of spherical lattice shells. Formulation of the problem. Geometrical shape of shell models. The composition of the individual models and their mechanical properties. Thickness calculation of the stiffness-equivalent model of lattice shells. Model loading and the course of measured deflections. Determination of coefficient k from experimental data - comparison with other solutions. 9. Computation program for structural analysis. Description of the algorithm. Basic information on: input data; output data. List of basic variables and their meaning. List of basic arrays and their meaning. Specimen of keying in the inputs for Schwedler dome analysis. Appendices. Author index. Subject index.