SINGLE-DEGREE-OF-FREEDOM SYSTEMS / I: |
Equations of Motion, Problem Statement, and Solution Methods / 1: |
Simple Structures |
Single-Degree-of-Freedom System |
Force-Displacement Relation |
Damping Force |
Equation of Motion: External Force |
Mass-Spring-Damper System |
Equation of Motion: Earthquake Excitation |
Problem Statement and Element Forces |
Combining Static and Dynamic Responses |
Methods of Solution of the Differential Equation |
Study of SDF Systems: Organization |
Appendix 1: Stiffness Coefficients for a Flexural Element |
Free Vibration / 2: |
Undamped Free Vibration |
Viscously Damped Free Vibration |
Energy in Free Vibration |
Coulomb-Damped Free Vibration |
Response to Harmonic and Periodic Excitations / 3: |
Viscously Damped Systems: Basic Results |
Harmonic Vibration of Undamped Systems |
Harmonic Vibration with Viscous Damping |
Viscously Damped Systems: Applications |
Response to Vibration Generator |
Natural Frequency and Damping from Harmonic Tests |
Force Transmission and Vibration Isolation |
Response to Ground Motion and Vibration Isolation |
Vibration-Measuring Instruments |
Energy Dissipated in Viscous Damping |
Equivalent Viscous Damping |
Systems with Nonviscous Damping |
Harmonic Vibration with Rate-Independent Damping |
Harmonic Vibration with Coulomb Friction |
Response to Periodic Excitation |
Fourier Series Representation |
Response to Periodic Force |
Appendix 3: Four-Way Logarithmic Graph Paper |
Response to Arbitrary, Step, and Pulse Excitations / 4: |
Response to Arbitrarily Time-Varying Forces |
Response to Unit Impulse |
Response to Arbitrary Force |
Response to Step and Ramp Forces |
Step Force |
Ramp or Linearly Increasing Force |
Step Force with Finite Rise Time |
Response to Pulse Excitations |
Solution Methods |
Rectangular Pulse Force |
SINGLE-DEGREE-OF-FREEDOM SYSTEMS / I: |
Equations of Motion, Problem Statement, and Solution Methods / 1: |
Simple Structures |
Single-Degree-of-Freedom System |
Force-Displacement Relation |
Damping Force |