Earthquake Engineering

  1. Structural Dynamics
    1. Single-Degree-of-Freedom Systems
      1. Equation of Motion
        1. Newton's Second Law Application
          1. Force Equilibrium
            1. Mass-Spring-Damper Model
            2. Undamped Free Vibration
              1. Natural Frequency
                1. Natural Period
                  1. Initial Condition Effects
                  2. Damped Free Vibration
                    1. Viscous Damping
                      1. Critical Damping
                        1. Overdamped and Underdamped Response
                          1. Logarithmic Decrement
                          2. Response to Harmonic Excitation
                            1. Steady-State Response
                              1. Resonance Phenomena
                                1. Dynamic Amplification Factor
                                  1. Phase Relationships
                                  2. Response to General Dynamic Loading
                                    1. Duhamel Integral
                                      1. Convolution Integral
                                        1. Numerical Integration Methods
                                        2. Response to Earthquake Ground Motion
                                          1. Relative and Absolute Motion
                                            1. Time History Analysis
                                              1. Response Spectrum Application
                                            2. Multi-Degree-of-Freedom Systems
                                              1. Equations of Motion
                                                1. Matrix Formulation
                                                  1. Mass, Stiffness, and Damping Matrices
                                                    1. Influence Coefficients
                                                    2. Natural Frequencies and Mode Shapes
                                                      1. Eigenvalue Problem
                                                        1. Orthogonality Properties
                                                          1. Mode Shape Normalization
                                                        2. Continuous Systems
                                                          1. Beams and Shear Buildings
                                                            1. Governing Differential Equations
                                                              1. Boundary Conditions
                                                                1. Mode Shapes and Frequencies
                                                                2. Distributed Parameter Systems
                                                                  1. Partial Differential Equations
                                                                    1. Separation of Variables
                                                                  2. Nonlinear Structural Response
                                                                    1. Material Nonlinearity
                                                                      1. Hysteretic Behavior
                                                                        1. Cyclic Loading Effects
                                                                          1. Energy Dissipation Mechanisms
                                                                          2. Geometric Nonlinearity
                                                                            1. P-Delta Effects
                                                                              1. Large Displacement Theory
                                                                                1. Stability Considerations

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                                                                            5. Geotechnical Earthquake Engineering

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                                                                            7. Seismic Analysis of Structures