1. Introduction -- 2. General Theory of Thin Elastic Shells -- 3. Linear Analysis of Thin Shells of Revolution Using Finite Element Method -- 3.1: Introduction -- 3.2: Geometric Parameters and Relations of Shells of Revolution -- 3.3: Basic Equations of Elasticity for Shells of Revolution -- 3.4: Fourier Analysis -- 3.5: Finite Element Formulation -- 3.6: Examples -- 4. Hyperbolic Cooling Towers on Discrete-Flexible Support System -- 4.1: Introduction -- 4.2: Continuous-Flexible Boundary Analysis -- 4.3: Discrete-Flexible Boundary Analysis -- 4.4: Results, Discussions and Conclusions -- 5. Hyperbolic Cooling Towers with Geometric Imperfection -- 5.1: Introduction -- 5.2: Method of Geometric Simulation of Imperfection -- 5.3: The Method of the Equivalent Load Simulation of Geometric Imperfections -- 5.4: Results, Discussions and Conclusions -- 6. Non-Linear Analysis of Hyperbolic Cooling Towers -- 6.1: Introduction -- 6.2: Structural Non-Linearity -- 6.3: Equilibrium Equation of Non-Linear Systems -- 6.4: Numerical Techniques -- 6.5: Theory and Formulation of Geometric Non-Linear Shells of Revolution -- 6.6: Overall Solution Procedure -- 6.7: Results and Conclusion -- References -- Appendix 1 Elasticity Matrix -- Appendix 2 -- Appendix 3 Force Density Vectors -- Appendix 4 Derivation of Stiffness Matrix of the Support Columns at Interface -- Appendix 5 Derivation of Equivalent Nodal Forces of Distributed Edge Loading.