Dynamic Analysis of Suspended Roof Systems

Chapter 1 General Equations of the Mechanics of Suspended Roofs 1.1 Complete Non-linear Equations for Membrane Shells in Oblique Co-ordinate System 1.2 Another Form of Basic Equations 1.3 Particular Cases of Basic Equations 1.4 Boundary Conditions 1.5 General Non-linear Tensor Equations Based on Geo[1]metric Theory of Nets 1.6 Relation between Stresses and Strains 1.7 Equations for Suspended Roofs made of Cables of Finite Flexural Rigidity 1.8 Equations for Some Combined Systems Chapter 2 Small Vibrations of Suspended Roofs 2.1 Natural Vibrations of a Shallow Elastic Cable and Sagging Circular Membrane 2.2 Natural Vibrations of Double-chord Trussed Rope Systems 2.3 Natural Vibrations of Shallow Orthogonal Grid from Flexible Cables 2.4 Effect of Finite Flexural Rigidity of Cables on Natural 2.5 Vibrations of Suspended Roofs 2.6 General Method of Determination of Natural Frequencies and Modes 2.7 Vibrations of Combined Suspended Roofs Effect of Concentrated Masses 2,8 Natural Vibrations of Cylindrical Shell Membrane and Suspended Anisotropic Shell 2.9 Forced Vibrations in Suspended Roofs Chapter 3 Natural Vibrations of Flexible Shallow Cables 3.1 Governing Equations for Natural Vibrations of a Flexible Shallow Cable in the Plane of its Sag 3.2 Transverse Vibrations of a Flexible Shallow Cable with Unyielding Supports 3.3 Simultaneous Calculation of Longitudinal and Transverse Vibrations 3.4 Autoparametric Vibrations of a Flexible Shallow Cable 3.5 Natural Swinging Vibrations of a Flexible Shallow Cable 3.6 Vibrations of a Rigid Cable 3.7 Natural Vibrations of a Weightless Cable with Counterpoise 3.8 Vibrations of a String Chapter 4 Forced Non-linear Transverse Vibrations of a Flexible Shallow Cable 4.1 Response of a Flexible Shallow Cable to Harmonic Perturbations 4.2 Vibrations of a Flexible Shallow Cable due to Random Stationary Perturbations Chapter 5 Dynamic Analysis of Guyed Trusses 5.1 Governing Equations for Vertical Vibrations of Guyed Trusses 5.2 Natural and Forced Vibrations of a Guyed Truss Chapter 6 Non-linear Vibrations of Membranes 6.1 Fundamental Relations of Membrane Dynamics 6.2 System of Equations when Transverse Displacement of a Membrane is given in the Form of a Series 6.3 Consideration of Elastic and Inertial Tangential Forces in Transverse Vibrations of a Membrane 6.4 Natural Vibrations of Membranes 6.5 Vibrations of Membranes Subjected to Random Stationary Perturbations 6.6 Vibrations of Membranes under Harmonic Perturbations 6.7 Random Vibrations of a Membrane Treated as a System with a Few Degrees of Freedom Chapter 7 Vibrations of an Orthogonal Guyed Network 7.1 Analytical Expressions for Vibrations of Spatial Guyed Networks with Orthogonal Structure of Cells 7.2 Probabilistic Characteristics of Vibrations of Pre-stressed, Orthogonal, Hyperbolic, Paraboloidal Guyed Network under Random Stationary Perturbations 7.3 Random Transverse Vibrations of a Plane Guyed Network Taking into Account Inertial and Elastic Tangential Forces 7.4 Vibrations of a Plane Guyed Network Rigidly Fixed along the Contour and Subjected to Stochastic Perturbations Chapter 8 Vibrations of Suspended Roofs Taking into Account the Effect of Air Flow 8.1 Formulation of the Aeroelastic Problem 8.2 Aeroelastic Stability of a Flexible Plate and Membrane in Air Flow: Linear Problem 8.3 Investigation of Aeroeleastic Stability of a Suspended Shell: Non-linear Problem 8.4 Vibrations of Suspended Roofs under the Simultaneous Effect of Air Flow and Random Load 8.5 A More Accurate Theory, Some Experimental Applications Chapter 9 Vibrations of Guyed Systems under Parametric Perturbations 9.1 Vibrations of a Plane Guyed Network under Random Parametric Perturbations 9.2 Dynamic Instability of a Flexible Cable under Random Parametric Perturbations 9.3 Vibrations of a Flexible Shallow Cable under Para-metric Harmonic Perturbations 9.4 Illustrative Examples.