Show that response of an undamped SDOF System subjected to a harmonicexcitation p(t) = po sin wt, w # wn is given by1.P.1- sin @„tи()sin ot# ®,k 1-(@l @,)2.Show that the expression for damping in terms of two frequencies wa and wnis given by the equationWb – Wa2wn

Single degree of freedom pt=Posinωt , ω≠ωnut=Pok×11-ω-ωn2sinωx-ωωnsinωnt ω=ωnPosinωt=mx.…

Answered: Show that response of an undamped SDOF…

Show that response of an undamped SDOF System subjected to a harmonic excitation p(t) = po sin wt, w # wn is given by 1. Po 1 u(1): sin ot - sin @̟t k 1-(@/ @,)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: eaction at 'A' in N. b.) Reaction at 'D

A: solution of above question is below :

Q: Obtain The elastic curve of the rod given in the figure by using the "integration method". Draw the…

A: ● We have to determine the elstic curve of the rod using integration method and also cross-…

Q: weight of the pully teKeep the system în brinme aquilibe Sindd the

Q: solve ple. with all steps be clear thanks G0kNIm EI= Constant GA = Con stant 3m Find Op by…

Q: Determine the moment of inertia Ix (m.4) of the shaded area about the centroid. Type your answer in…

Q: y | 1 A -X 25' 15⁰ 40° C F = 13 kips 15' B 11 .n

Q: Two cylindrical rods, one of steel and the other of brass, are joined at Cand restrained by rigid…

A: RA×180×1000π4×402×200×1000-60-RA×180×1000π4×402×200×1000-60-RA×100×1000π4×302×105×1000-100-RA×100×10…

Q: When trying to find By, it is recommended I consider the moment equilibrium of BC about C, how does…

A: Given:- To find:- In this question ask about the Reaction Support component of B , By .

Q: the pu Calculate the moment of inertia with respect to the z-axis of the thin surface shell of…

Q: The sign has a mass of 100 kg with a center of mass at G. Determine the components of the reaction…

A: The mass of the sign = 100 kgThe weight of the rod AB is to be neglectedTo determine:-The components…

Q: 11.6 kips Part 1 2.9 Correct 2.2 3.9 kips 5.1' OB RA If the resultant passes through B, the original…

Q: From the given figure shown: Use only area moment method: (A is pin and B is roller). El is…

Q: Determine the laplace transform of the following: 1. (t4- 3)2 2. cos²4t + e4 3. V2 te-vzt 4. cos(2t…

A: Some standard formula to be used in this solution (a-b)2 = a2 - 2ab + b2 Cos2(a) =[1+ cos(2a)]/2…

Q: Q1. Determine the resultant moment 6+be fig. show n below: 200N 3m_ 70 8OON

A: Moment: It is defined as the tendency of a force to produce rotation about an axis or point. The…

Q: Solve for: 3) RA Ro 6) MA

Q: Analysis the frame shown in figure by MOMENT DISTRIBUTION METHOD and draw BMD. Assume EI is…

Q: A torque of 500 NMm is applied to the circular beam of variable radius given in the figure in the…

A: First, we have to make a free body diagram of the figure given above

Q: 63) For the Beam {n Figure 3 (a) Compwte the magn'ude of the slope at jolnt B (b) Determine the…

Q: P1/calcu late the value of force P Such that the Vartical and hovizon tal displacement at point A…

A: The above problem is analyzed by using the equilibrium equations, 3-equilibrium equations are,…

Q: Q.121 A vibrating system of mass 20 ka and spring with stiffness 32 N/mm is viscosly damped so that…

Q: Resonance occurs when the driving frequency is equal to the natural frequency. a. True O b. False

Q: Problem 2-A concentrated couple, Mo = 600 Nm acts at the center of the simply Supported beam which…

Q: Find the moment (Nm) acting at O due to all forces and couple present in the following system if P =…

A: An arrangement of cantilever beam is given and it has been asked to determine moment at o which is…

Q: The distance s = 4 m. If we represent the force and the 200 N-m couple by a force F acting at the…

Q: L A 25' 15⁰ 40° C F = 13 kips 15' B n

A: A simply supported beam inclined at 15°Force of 13 kips acting at C at 40 ° with vertical of…

Q: 24kN/m 12kN/m Зт 5m 8m A simply supported beam is loaded as shown in the figure. Assume El is…

Q: y= a (1-4+) a

A: Moment of inertia is the term used to measure or quantify the amount of mass located at an object's…

Q: QI: The three forces shown in Figure are required to cause a 250 N as a resultant acting…

Q: Shear force acting on section H in the figure Shear stress y when T = 50 kN acts Draw the…

A: Shear stress is generally created either due to the change and the bending moment or due to change…

Q: Consider the system shown in Cauca.11 Figure 4m 6m 1of1 ) Bott Hed Part A Determine the z, y, and a…

Q: 9.37 The product of inertia of triangle (a) with respect to its centroid is T, --b'h72. What is 7,…

A: Given: h=Height of triangles b=Base of triangles To find: Product of inertia of triangles (b), (c)…

Q: in mm ) Solue for the deflectiom e the miáspan using vwM lookN 20 kal /m E = 2006 Pa Cross section…

Q: 15KN 15kN 4 30° 45° 30 PA 25KN F.

Q: Problem 3-Determine the moment applied at point F to achieve equilibrium of the system. Use the…

A: Given :

Q: Determine the f. unknowns on the beam shown below using Conjugate - Beam Method Consider 250 mm x…

A: Note:- Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: D 250 KN A 150 kN 150 kN 200 mm- Figure Q2 (a) C ,250 kN B

Q: The flywheel A rotates clockwise under the action of a 700 N-m couple. A band break is to be used to…

Q: 400 mm -1100 mm- 200 N a 960 mm 400 N

Q: AREA MOMENT METHOD Find the value of EIð at the point of application of the 200 N-m couple in the…

Q: a) In constructing the influence line of an indeterminate beam, the ordinates of a number of points…

A: 1.a the influence line of statically indeterminate structure can be obtaioned bystatic equilibrium…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Show that response of an undamped SDOF System subjected to a harmonic
excitation p(t) = po sin wt, w # wn is given by
1.
P.
1
- sin @„t
и()
sin ot
# ®,
k 1-(@l @,)
2.
Show that the expression for damping in terms of two frequencies wa and wn
is given by the equation
Wb – Wa
2wn

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

complete solution please thank you
otorm Snie F-A0ON P:450 N Find the magnitude 30° 45 and direction of the 30° resultant of the three forces P, F,Q in the figure Q:700 N
A ФЫ В А ПРО В А П Р О Л ДЗАПРОЛДЖЭ ЯЧСМИТНЧСМИТЬБНСМИТЬБЮ SOLVE STEP BY STEP IN DIGITAL FORMAT Using the stiffness method, obtain the reactions at the supports, the shear and bending moment diagrams of the following beam: Consider that El=1 throughout the entire beam 5 T B 8 T/m с 71 D 3 T/m -2.50 m-2.50 m2.50 m2.50 m 10.00 m E ЙЦУКЕНГШУКЕНГШ ЩЗКЕНГШЩЗХъ
1. Use the force method to calculate the redundant reaction of the indeterminate beam. E is constant, I varies as shown below. (40 points – Suggested time 45 minutes) 4 k/ft 5 k 50 k.ft 10 ft 5 ft 5 ft 5 ft 21
A8
1) A couple is acting at the base of the member of a machine and the magnitude of one of the forces is 100 N as shown in the figure. Then the couple is replaced by an equivalent couple with 400 N forces (P and -P). Find the new angle to maintain the same couple moment acting on the column. -P 100 100 N 20 100 M 100 60 100 N Dimensions in millimeters
Solve the maximum deflections using method of superposition and draw shear and moment diagram
14 Thermal stress only occurs if the material is restricted from deforming freely. True O False 15 Power is work multiplied by distance trav eled (linear or circular) by the body. O True O False
From the given figure shown: Use only area moment method: (A is pin and B is roller). EI is constant.Calculate:A. Reaction at A. B. Reaction at B C. Deflection at D
Please don't reject . Solve Q3 . Please don't reject .
Given the function f(A,B,C,D) = A'B'C + AB'C + ACD + A'B'CD' +AB'CD' • Optimize the expression above in sum-of-product form using K-Map. • From the simplified SOP expression, convert the expression to All-NAND form. Draw the resulting All-NAND circuit.
Already answered in Bartleby. Do not copy the solutions. Please double check the solutions! Statics of Rigid Bodies (Round off to two (2) decimal places. Include negative sign (-) if the answer is negative.) 4. Determine: Moment about point O (in lb-ft)