A three-level offshore platform located in the Helang Oilfield area has a 1500 kg floor steel grating supported at each level. The structure sometimes is subjected to a vertical oscillation movement during rough sea waves given by function of y(t) = Y sin wt. If the steel grating only moves in the vertical direction and is supported by one equivalent spring and damper at each steel grating pole level with stiffness, kl = (300 x 2) N/m, k2 = (200 x 2) N/m and k3 = (100 x 2) N/m while damping, cl= (15 x 8) Ns/m, c2 = (10 x 8) Ns/m and c3 = (5 x 8) Ns/m, respectively, as simplified in Figure Q1. Neglect the effect of gravitational force. (a) Sketch a free body diagram for each steel grating that includes the mass's action and reaction forces. (b) Determine the equation of motion in a matrix form using Newton's second law, (m]ÿ + [c]ý + [k]y = F. (c) By omitting the damping and extermal force parameter, deduce and express the general solution in the form of ([k] – w*[m]){Y} = 0.

A three-level offshore platform located in the Helang Oilfield area has a 1500 kg floor steel grating supported at each level. The structure sometimes is subjected to a vertical oscillation movement during rough sea waves given by function of y(t) = Y sin wt. If the steel grating only moves in the vertical direction and is supported by one equivalent spring and damper at each steel grating pole level with stiffness, kl = (300 x 2) N/m, k2 = (200 x 2) N/m and k3 = (100 x 2) N/m while damping, cl= (15 x 8) Ns/m, c2 = (10 x 8) Ns/m and c3 = (5 x 8) Ns/m, respectively, as simplified in Figure Q1. Neglect the effect of gravitational force. (a) Sketch a free body diagram for each steel grating that includes the mass's action and reaction forces. (b) Determine the equation of motion in a matrix form using Newton's second law, (m]ÿ + [c]ý + [k]y = F. (c) By omitting the damping and extermal force parameter, deduce and express the general solution in the form of ([k] – w*[m]){Y} = 0.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A three-level offshore platform located in the Helang Oilfield area has a 1500 kg floorsteel grating supported at each level. The structure sometimes is subjected to a verticaloscillation movement during rough sea waves given by function of ?(?) = ? sin ??.If the steel grating only moves in the vertical direction and is supported by oneequivalent spring and damper at each steel grating pole level with stiffness, k1 = (300× T) N/m, k2 = (200 × T) N/m and k3 = (100 × T) N/m while damping, c1 = (15 × U)Ns/m, c2 = (10 × U) Ns/m and c3 = (5 × U) Ns/m, respectively, as simplified in FigureQ1. Neglect the effect of gravitational force. T=2 U=7
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A three-level offshore platform located in the Helang Oilfield area has a 1500 kg floorsteel grating supported at each level. The structure sometimes is subjected to a verticaloscillation movement during rough sea waves given by function of ?(?) = ? sin ??.If the steel grating only moves in the vertical direction and is supported by oneequivalent spring and damper at each steel grating pole level with stiffness, k1 = (600) N/m, k2 = (400) N/m and k3 = (200) N/m while damping, c1 = (105)Ns/m, c2 = (70) Ns/m and c3 = (35) Ns/m, respectively, as simplified in FigureQ1. Neglect the effect of gravitational force. (Please answer the all question I was upload for so many times but I didn't get proper answer Pls!)