Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
how do they determine k

how do they determine k

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
Question

this is a text book example NOT for grading, how do they determine k

Torsional natural frequency 4₁ = 600 m d₁ = 80mm G = 80GPa J₁ = 900kgm² 1₂ = 800 m d₂ = 60mm G = 80GPa J₂ = 400kgm² k₁0₁ www J₁ J₂ K₁1 K12 4010 K₁2(02-0₁) 02 Equation of motion for J₁: kt101 + kt201 - kt20₂ + J₁0₁ = 0 (kt1+kt2)01(kt2)02-J₁w²0₁ = 0 Equation of motion for J₂: Kt202 - Kt201 +J₂0₂ = 0 -(kt2) 01 + (kt2)02-J₂w²0₂ = 0 Equations of motion in matrix form: [(ker + Kt2-J₁w²) (-ktz) 0 (t) = Osin(wt) ä(t) = -w²0sin(wt) = (K²₂-12²)][82] [81
Transcribed Image Text:Torsional natural frequency 4₁ = 600 m d₁ = 80mm G = 80GPa J₁ = 900kgm² 1₂ = 800 m d₂ = 60mm G = 80GPa J₂ = 400kgm² k₁0₁ www J₁ J₂ K₁1 K12 4010 K₁2(02-0₁) 02 Equation of motion for J₁: kt101 + kt201 - kt20₂ + J₁0₁ = 0 (kt1+kt2)01(kt2)02-J₁w²0₁ = 0 Equation of motion for J₂: Kt202 - Kt201 +J₂0₂ = 0 -(kt2) 01 + (kt2)02-J₂w²0₂ = 0 Equations of motion in matrix form: [(ker + Kt2-J₁w²) (-ktz) 0 (t) = Osin(wt) ä(t) = -w²0sin(wt) = (K²₂-12²)][82] [81
Torsional natural frequency J₁ J₂ K₁1 K12 01 0₂ Calculate the natural frequencies: (ke1 + Ktz-J₁w²) (-Ktz) (-ktz) (ktz~1/26²) = 0 360000w4379870910w² +68218704777.675003 = 0 Wn1 = 28,73 rad/s fn1 = 4,57Hz Wn2 = 15,15 rad/s fn2 = 2,41Hz
Transcribed Image Text:Torsional natural frequency J₁ J₂ K₁1 K12 01 0₂ Calculate the natural frequencies: (ke1 + Ktz-J₁w²) (-Ktz) (-ktz) (ktz~1/26²) = 0 360000w4379870910w² +68218704777.675003 = 0 Wn1 = 28,73 rad/s fn1 = 4,57Hz Wn2 = 15,15 rad/s fn2 = 2,41Hz
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Thermodynamic Relations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS