| Author | Doyle, James F., 1951-, author |
|---|---|
| Title | Static and Dynamic Analysis of Structures [electronic resource] : with An Emphasis on Mechanics and Computer Matrix Methods / by James F. Doyle |
| Imprint | Dordrecht : Springer Netherlands : Imprint: Springer, 1991 |
| Connect to | http://dx.doi.org/10.1007/978-94-011-3420-0 |
| Descript | XIV, 442 p. online resource |
1 Background and Scope -- 1.1 Structural Analysis -- 1.2 Types of Structures Considered -- 1.3 Mechanics of Structures -- 1.4 Degrees of Freedom -- 1.5 Time Varying Loads -- 1.6 Computers and Algorithms -- 1.7 Systems of Units -- Exercises -- 2 Rod Structures -- 2.1 Rod Theory -- 2.2 Rod Element Stiffness Matrix -- 2.3 Structural Stiffness Matrix -- 2.4 Boundary Conditions -- 2.5 Member Distributions and Reaction -- 2.6 Distributed Loads -- Problems -- Exercises -- 3 Beam Structures -- 3.1 Beam Theory -- 3.2 Beam Element Stiffness Matrix -- 3.3 Structural Stiffness Matrix -- 3.4 Equivalent Loads -- 3.5 Elastic Supports -- 3.6 Member Loads and Reactions -- Problems -- Exercises -- 4 Truss and Frame Analysis -- 4.1 Truss Analysis -- 4.2 Plane Frame Analysis -- 4.3 Space Frames -- 4.4 Determining the Rotation Matrix -- 4.5 Special Considerations -- 4.6 Substructuring -- Problems -- Exercises -- 5 Structural Stability -- 5.1 Elastic Stability -- 5.2 Stability of Truss Structures -- 5.3 Matrix Formulation for Truss Stability -- 5.4 Beams with Axial Forces -- 5.5 Beam Buckling -- 5.6 Matrix Analysis of Stability of Beams -- 5.7 Stability of Space Frames -- Problems -- Exercises -- 6 General Structural Principles I -- 6.1 Work and Strain Energy -- 6.2 Linear Elastic Structures -- 6.3 Virtual Work -- 6.4 Stationary Potential Energy -- 6.5 Ritz Approximate Analysis -- 6.6 The Finite Element Method -- 6.7 Stability Reconsidered -- Problems -- Exercises -- 7 Computer Methods I -- 7.1 Computers and Data Storage -- 7.2 Structural Analysis Programs -- 7.3 Node Renumbering -- 7.4 Solving Simultaneous Equations -- 7.5 Solving Eigenvalue Problems -- Problems -- Exercises -- 8 Dynamics of Elastic Systems -- 8.1 Harmonic Motion and Vibration -- 8.2 Complex Notation -- 8.3 Damping -- 8.4 Forced Response -- Problems -- Exercises -- 9 Vibration of Rod Structures -- 9.1 Rod Theory -- 9.2 Structural Connections -- 9.3 Exact Dynamic Stiffness Matrix -- 9.4 Approximate Matrix Formulation -- 9.5 Matrix Form of Dynamic Problems -- Problems -- Exercises -- 10 Vibration of Beam Structures -- 10.1 Spectral Analysis of Beams -- 10.2 Structural Connections -- 10.3 Exact Matrix Formulation -- 10.4 Approximate Matrix Formulation -- 10.5 Beam Structures Problems -- Problems -- Exercises -- 11 Modal Analysis of Frames -- 11.1 Dynamic Stiffness for Space Frames -- 11.2 Modal Matrix -- 11.3 Transformation to Principal Coordinates -- 11.4 Forced Damped Motion -- 11.5 The Modal Model -- 11.6 Dynamic Structural Testing -- 11.7 Structural Modification -- Problems -- Exercises -- 12 General Structural Principles II -- 12.1 Elements of Analytical Dynamics -- 12.2 Hamiltonโs Principle -- 12.3 Approximate Structural Theories -- 12.4 Lagrangeโs Equation -- 12.5 The Ritz Method -- 12.6 Ritz Method Applied to Discrete Systems -- 12.7 Rayleigh Quotient -- Problems -- Exercises -- 13 Computer Methods II -- 13.1 Finite Differences -- 13.2 Direct Integration Methods -- 13.3 Newmarkโs Method -- 13.4 Complete Solution of Eigensystems -- 13.5 Generalized Jacobi Method -- 13.6 Subspace Iteration -- 13.7 Selecting a Dynamic Solver -- Problems -- Exercises -- A Matrices and Linear Algebra -- A.1 Matrix Notation -- A.2 Matrix Operations -- A.3 Vector and Matrix Norms -- A.4 Determinants -- A.5 Solution of Simultaneous Equations -- A.6 Eigenvectors and Eigenvalues -- A.7 Vector Spaces -- B Spectral Analysis -- B.1 Continuous Fourier Transform -- B.2 Periodic Functions: Fourier series -- B.3 Discrete Fourier Transform -- B.4 Fast Fourier Transform Algorithm -- C Computer Source Code -- C.1 Compiling the Source Code -- C.2 Manual and Tutorial -- C.3 Source Code for STADYN -- C.4 Source Code from MODDYN -- References