#SOLVED! Free Vibration of damped SDoF system//Structural dynamics

HERE👉 https://bit.ly/3fMjzs5 This tutorial provides a solution to the problem below on free vibration of a damped single degree of freedom system *Question* A one-story building is idealized as a rigid girder supported by weightless columns, (See Figure in the video    • #SOLVED! Free Vibration of damped SDoF sys...  ). In order to evaluate the dynamic properties of this structure, a free-vibration test is made, in which the rigid girder is displaced laterally by a hydraulic jack and then suddenly released. During the jacking operation, it is observed that a force of 88:90 kN is required to displace the girder 5:08 mm. After the instantaneous release of this initial displacement, the maximum displacement on the first return swing is only 4:064 mm, and the period of this displacement cycle is TD=51:4 seconds. From the experimental data, the following dynamic properties are determined. (i) Effective mass M of the girder (ii) Damped frequency (iii) Damping properties (iv) Amplitude after 6 cycles Solution to this and other problems can be downloaded here https://bit.ly/4Downloads Watch tutorial/Solved problems on Structural dynamics in the following playlist    • Tutorials: Structural dynamics   Watch full videos on the series #Structuraldynamicslectures on these links 1. Introduction to Structural Dynamics    • 1. Introduction to Structural Dynamics   2. Free Vibration of undamped SDoF system    • 2. Free Vibration of undamped SDoF system/...   3. Free Vibration of damped SDoF system    • 2. Free Vibration of undamped SDoF system/...   4. Forced (harmonic loading) vibration for SDOF systems    • 4. Forced vibration of SDOF systems//Struc...   5. Forced (arbitrary loading) vibration for SDOF systems    • 5. Forced vibration for SDOF systems #Duha...   6. Free vibration of MDoF dynamic systems    • 6. Free vibration of multiple degree of fr...   7. Forced vibration of #MDoF dynamic systems    • 7. Forced vibration of #MDoF dynamic syste...   Main reference books used in this course 1. Structural Dynamics: Theory and Computation by Mario Paz & Young H. 2. Dynamics of Structures by Humar J.L 3. Fundamentals of Structural Dynamics by Craig & Kurdila Other references books used in preparation of tutorials 1. Dynamics of Structure by Ankil K. Chopra (in SI units) 2. Dynamics of Structures by Clough & Penzien If you would like to support the channel, below are various ways in which you can - 1. Join my Youtube Members Club and enjoy special perks: https://bit.ly/drYTMembers 2. Become a patron:   / drgathimba   3. Become a member: https://bit.ly/BMC-Member 4. Donate via PayPal: https://bit.ly/2TmSTHL This will allow me to create more educative videos covering various engineering topics. You can now download notes and other materials related to the lectures on this link https://bit.ly/4Downloads