Structural Dynamics Lecture 1 Outline of Lecture 1（结构动力学讲座讲座大纲1）.pdf

Structural Dynamics Lecture 1 Outline of Lecture 1 Introduction. Harmonic and Periodic Motions. Single-Degree-of-Freedom Systems. Equation of Motion of Undamped Eigenvibrations. Equation of Motion for Forced, Damped Vibrations.Equation of Motion for Forced, Damped Vibrations. Damping Models. Analytical Dynamics. 1 Structural Dynamics Lecture 1 Introduction Vibration analysis: Determination of the displacement and the internal forces of a structure due to time-dependent external loads or initial conditions. Description of motion: Time-dependent coordinates: : Degree of freedom. Specifies the displacement components and rotation components of a system of mass particles or extended rigid bodies from a known referential state (static equilibrium state). 2 Structural Dynamics Lecture 1 Discrete and continuous systems: Single-degree-of-freedom (SDOF) system : Multi-degree-of-freedom (MDOF) system : Continuous system : SDOF and MDOF systems:SDOF and MDOF systems: Discrete systems. Linear and nonlinear systems: Equations of motions are formulated in terms of linear or nonlinear ordinary differential equations (discrete systems), or linear or nonlinear partial differential equations (continuous systems). 3 Structur