http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
A New Approach to Form Finding, Optimal Design, and Shape Control
Cable-Network Structures: A New Approach to Form Finding, Optimal Design, and Shape Control provides a framework for form finding, optimal design, and shape control of cable-network structures in various engineering applications.
Front Cover -- Cable-Network Structures -- Cable-Network Structures: A New Approach to Form-Finding, Optimal Design, and Shape Control -- Copyright -- Contents -- About the authors -- Preface -- Acknowledgments -- 1 -- The study of cable-network structures -- 1.1 Bridges -- 1.2 Architectural applications -- 1.3 Tensile membrane structures -- 1.4 Deployable space structures -- 1.5 Scope of this book -- References -- 2 -- Cable-network structures -- 2.1 Problem statement -- 2.2 Equations of force equilibrium -- 2.3 Compatibility equations -- 2.4 Mechanisms and states of self-stress -- 2.4.1 Four types of structural assemblies and extended Maxwell's rule -- 2.4.2 Separation of rigid-body and internal mechanisms of a general pin-jointed structure -- 2.4.3 Infinitesimal and finite mechanisms -- 2.5 Tangent stiffness matrix -- 2.5.1 Force density matrix method -- 2.5.2 Equilibrium equation method -- 2.5.3 Potential energy method -- 2.6 Illustrative examples -- 2.6.1 A two-dimensional cable-network structure -- 2.6.1.1 Tangent stiffness matrix by the force density matrix method -- 2.6.1.2 Tangent stiffness matrix by force equilibrium equation approach -- 2.6.1.3 Tangent stiffness matrix by potential energy approach -- 2.6.2 A two-dimensional general pin-jointed structure -- 2.7 Summary -- References -- 3 -- Form-finding of initial equilibrium configuration -- 3.1 Problem statement -- 3.1.1 Geometric and force constraints -- 3.1.2 Stiffness and stability -- 3.2 Fixed nodal position method -- 3.2.1 Initial guess of geometric configuration -- 3.2.2 Determination of tension distribution of cable members -- 3.2.2.1 Case A. Cable-network structures of types I and II with consistent external forces -- 3.2.2.2 Case B. Cable-network structures of types II and IV with inconsistent external forces.
3.2.2.3 Case C. Cable-network structures of types III and IV with consistent external forces -- 3.2.3 Adaptation of geometric configuration -- 3.2.4 Procedure of the FNPM -- 3.3 The stochastic fixed nodal position method for determination of tension distribution of cable members -- 3.3.1 Preliminary self-stress assignment -- 3.3.2 Stochastic optimization -- 3.3.3 Procedure of the SFNPM -- 3.4 Force density method -- 3.5 Dynamic relaxation method -- 3.5.1 Dynamic relaxation method with viscous damping -- 3.5.2 Dynamic relaxation method with kinetic damping -- 3.6 Illustrative example -- 3.6.1 Fixed nodal position method -- 3.6.2 Force density method -- 3.6.3 Dynamic relaxation method -- 3.7 Conclusions -- References -- 4 -- Form-finding of deformed equilibrium configuration -- 4.1 Problem statement -- 4.2 Singular value decomposition method -- 4.2.1 Singular value decomposition of the equilibrium matrix -- 4.2.2 Determination of nodal displacements -- 4.3 Stiffness matrix method -- 4.4 Dynamic relaxation method -- 4.5 Illustrative example -- 4.5.1 Singular value decomposition method -- 4.5.2 Stiffness matrix method -- 4.5.3 Dynamic relaxation method -- 4.6 Summary -- References -- 5 -- Shape control of cable-network structures -- 5.1 Problem statement -- 5.1.1 Predictable and unpredictable shape distortions -- 5.1.2 Integration of actuators within cable members -- 5.2 Passive shape control -- 5.2.1 Self-standing truss with hard points enhancement method -- 5.2.2 Form-finding method by modified force densities and with the consideration of the flexibility of the supporting structure -- 5.2.3 Form-finding method by solving the noncompatibility problem and considering the flexibility of the supporting structure -- 5.3 Active shape control -- 5.3.1 The minimum residual nodal displacement method.
5.3.1.1 A simple linear relationship among nodal displacements, external loads, and undeformed member lengths of a cable-network st ... -- 5.3.1.2 Equivalent actuation loads -- 5.3.1.3 Optimal placement of actuators -- 5.3.1.4 Mixed integer optimization -- 5.3.1.5 Determination of equivalent actuation loads -- 5.3.1.6 Procedure of the MRND method in shape control -- 5.3.2 Other active shape control methods -- 5.4 Illustrative example: shape control of a two-dimensional cable-network structure -- 5.4.1 Case 1. Predictable surface distortions: known external loads -- 5.4.2 Case 2. Unpredictable surface distortions: random member lengths imperfection errors -- 5.5 Summary -- References -- 6 -- Large deployable mesh reflectors -- 6.1 Background -- 6.2 Aims -- 6.3 Issues in design of large DMRs -- 6.3.1 Desired working surface -- 6.3.2 Measurement of surface accuracy -- 6.3.3 Member tension constraints and desired distribution -- 6.3.4 Deformation of the supporting structure -- 6.3.5 Thermal strain and member length imperfection errors in fabrication -- 6.4 Preview of design of large DMRs -- References -- 7 -- Evaluation of surface accuracy -- 7.1 Problem statement -- 7.2 Reflector gain and effective surface error -- 7.3 RMS error prediction in preliminary design -- 7.4 RMS error calculation for generated mesh geometry -- 7.4.1 Nodal deviation RMS error -- 7.4.2 Best-fit surface RMS error -- 7.4.3 Direct RMS error -- 7.5 RMS error of effective region -- 7.6 Numerical examples -- 7.6.1 A two-facet mesh geometry -- 7.6.1.1 Calculation of the nodal deviation RMS error -- 7.6.1.2 Calculation of the best-fit surface RMS error -- 7.6.1.3 Calculation of the direct RMS error -- 7.6.2 Center-feed and offset-feed mesh reflectors -- 7.7 Summary -- References -- 8 -- Form-finding of large deployable mesh reflectors -- 8.1 Problem statement.
8.2 Fixed nodal position method with mesh generation by pseudo-geodesic curves -- 8.2.1 Generation of mesh geometry -- 8.2.1.1 Step 1. Introduction of a reference surface -- 8.2.1.2 Step 2. Generation of a geodesic mesh on the reference surface -- 8.2.1.3 Step 3. Geodesic mesh geometry adjustment -- 8.2.1.4 Step 4. Projection of nodes from the reference surface to the desired working surface -- 8.2.1.5 Step 5. Further improvement of surface accuracy -- 8.2.2 Determination of member tension distribution -- 8.3 Force density method and dynamic relaxation method with vertical projections -- 8.3.1 Equal force density method -- 8.3.2 Equal tension method -- 8.3.3 Dynamic relaxation method -- 8.4 Simulation results -- 8.4.1 Form-finding of a simple reflector with five free nodes -- 8.4.1.1 Equal force density method and equal tension method -- 8.4.1.2 Fixed nodal position method -- 8.4.2 Form-finding of center-feed DMRs -- 8.4.3 Form-finding of offset-feed DMRs -- 8.4.4 Effective regions -- 8.5 Summary -- References -- 9 -- Techniques for optimal design of large deployable mesh reflectors -- 9.1 Problem statement -- 9.2 Reduction of boundary nodes and members -- 9.3 The Projecting surface method -- 9.3.1 Step 1. Make an initial guess of the projecting surface -- 9.3.2 Step 2. Generate the mesh geometry on a reference surface -- 9.3.3 Step 3. Project nodes on the projecting surface -- 9.3.4 Step 4. Determine the best-fit surface -- 9.3.5 Step 5. Compare the difference between the best-fit surface and the desired working surface -- 9.3.6 Step 6. Adapt the projecting surface -- 9.4 Form-finding with deformation of supporting structures -- 9.4.1 Form-finding of the front cable net -- 9.4.2 Form-finding of rear cable net -- 9.5 Simulation results -- 9.5.1 Quick view of the technique of boundary nodes reduction -- 9.5.2 The projecting surface method.