Displaying Items By Tag: Vibration
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Calculation Example – Simple harmonic vibration part1
A single point with mass m is vibrating harmonically. The displacement x from point of balance is governed by the differential equation where ω is a positive constant. a) Show that...
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Calculation Example – Simple harmonic vibration part 2
A single point with mass m is vibrating harmonically. The displacement x from point of balance is governed by the differential equation where ω is a positive constant. b) What is t...
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Calculation Example – Undamped free Vibration (Part A).
Calculate the Mass and the Stiffness matrix for the shear frame below. The mass is lumped at each level. The supports at end A,B are fixed . The columns are considered to have no mass. (Modulus of ela...
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Calculation Example – Undamped free Vibration (Part B).
Calculate the modal frequencies for the shear frame at the previous exercise Undamped free Vibration (Part A). The story weight of the first floor is W1=60 KN end at the second floor W2=50 KN. The cro...
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Calculation Example: Natural Periods of Vibration for Systems
Each of the following columns supports a block of identical mass, m. The columns are fixed at the bottom and free at the top. The height of the first column is twice the height of the second column. T...
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