• Vibration monitoring development • Condition monitoring basic concept • Vibration monitoring details onsite vibration monitoring sensors vibration monitoring example vibration monitoring process Notes to vibration measurement Digital signal processing(DSP) to vibration analysis

Lecture D33: Forced Vibration Fosinwt m Spring Force Fs =-kx, k>0 Dashpot Fd =-ci, c>0 Forcing Fext Fo sin wt Newton's Second Law (mix =CF) mx+cx+kx= Fo sin wt =k/m,=c/(2mwn)

§14-4 Damped Vibration& Forced Vibration Resonance 阻尼振动 受迫振动 共振 §14-5 Superposition of two SHM with same Frequency in same Direction 同方向同頻率的简谐振动的合成 §14-6 Superposition of two Perpendicular SHM 相互垂直的简谐振动的合成 §14-3 The Energy of SHM 简谐振动的能量 §14-2 Amplitude Period Frequency & Phase 简谐振动的振幅, 周期，頻率和位相 §14-1 Simple Harmonic Motion (SHM) 简谐振动

Lecture D32: Damped Free Vibration Spring-Dashpot-Mass System k Spring Force Fs =-kx, k>0 Dashpot Fd =-cx, c>0 Newton's Second Law (mx =EF) mx +cx+kx (Define)Natural Frequency wn=k/m,and

General comments on generalized SDOF Generalized properties: assemblages of rigid bodies Generalized properties: distributed flexibility Vibration analysis by Rayleigh’s method Selection of the Rayleigh’s vibration shape

Response of SDOF to harmonic excitation: application • Identify the natural frequency and damping ratio • Vibration measurements • Earthquake Isolation • Vibration Isolation Response of SDOF to periodic excitation

14-1 Simple Harmonic Motion (SHM)简谐振动 14-2 Amplitude Period Frequency phase简谐振动的振幅,周期,頻率和位相 14-3 The Energy of SHM简谐振动的能量 14-4 Damped Vibration& Forced Vibration Resonance阻尼振动受迫振动共振 14-5 Superposition of two SHM with same Frequency in same Direction同方向同頻率的简谐振动的合成 14-6 Superposition of two Perpendicular SHM相互垂直的简谐振动的合成

物理学名词中英文对照 机械波 mechanical wave 机械振动 mechanical vibration 简谐运动 simple harmonic 弹簧振子 spring oscillator 振幅 amplitude

一、阻尼振动 二、受迫振动(forced vibration) 三、共振（resonance）

一、振动(vibration) 任一物理量在某一定值附近往复变化均称为振动. 机械振动物体围绕一固定位置往复运动. 其运动形式有直线、平面和空间振动 周期和非周期振动 简谐运动最简单、最基本的振动