please answer soon V3 F3(t)m3k3C 3V2 F2(t)m2k2C2V; F:()C177Figure Q1 Q1 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 y(t) = Y sin wtIf 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 = (300x T) N/m, k2= (200 × T) N/m and k3= (100 x T) N/m while damping, c1= (15 × U)Ns/m, c2 = (10 x U) Ns/m and c3 = (5 x U) Ns/m, respectively, as simplified in FigureQ1. Neglect the effect of gravitational force.Note: The values of T and U depend on the respective 5th and 6th digit of your matricnumber as shown in Table 1. For example, if your matric number is AD 170154 givesthe value T = 4 and U = 6Table 16th digit ofmatrix number5th digit ofmatric number48.14428334453526.7278.8.11.(a) Sketch a free body diagram for each steel grating that includes the mass's actionand 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 external force parameter, deduce and express thegeneral solution in the form of ([k] – w?[mD{Y} = 0.(d) Analyze the maximum vertical displacement at each floor when the system'snatural frequency is equal to the external stimulation frequency. Assume non-trivial solution and F123(1) exhibits harmonic oscillation of sin 0.02t.

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Answered: V3 F;(t) M3 k3 C3 V2 F;(1) m2 C2 Figure…

Engineering

Mechanical Engineering

V3 F;(t) M3 k3 C3 V2 F;(1) m2 C2 Figure Q1

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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