AUTOMOTIVE TECHNOLOGY -W/MINDTAP ACCESS
7th Edition
ISBN: 9780357096789
Author: ERJAVEC
Publisher: CENGAGE L
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Textbook Question
Chapter 37, Problem 1SA
What is another name for the diaphragm spring?
Expert Solution & Answer
To determine
Another name for the diaphragm spring.
Answer to Problem 1SA
Belleville-type pressure plates is another name for diaphragm spring.
Explanation of Solution
The assembly of pressure exerting plates is done in two ways:
- Coil spring assembly.
- Diaphragm assembly.
Belleville-type pressure plate is another name for diaphragm spring.
Coil spring assembly includes a coil spring and a release lever to control the movement of the plate back and forth. This spring helps in holding the pressure plate tightly against clutch disc by applying pressure. In diaphragm plate assembly, a spring is used in between the pressure plate and plate covering for movement of plate back and forth.
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Problem 2 (55 pts). We now consider the FEM solution of Problem 1.(a) [5pts] Briefly describe the 4 steps necessary to obtain the approximate solution of thatBVP using the Galerkin FEM. Use the minimum amount of math necessary to supportyour explanations.(b) [20pts] Derive the weak form of the BVP.(c) [10pts] Assuming a mesh of two equal elements and linear shape functions, sketch byhand how you expect the FEM solution to look like. Also sketch the analytical solutionfor comparison. In your sketch, identify the nodal degrees of freedom that the FEMsolution seeks to find.(d) [10pts] By analogy with the elastic rod problem and heat conduction problem considered in class, write down the stiffness matrix and force vector for each of the twoelements considered in (c).(e) [10pts] Assemble the global system of equations, and verbally explain how to solve it.
An aluminum rod of length L = 1m has mass density ρ = 2700 kgm3 andYoung’s modulus E = 70GPa. The rod is fixed at both ends. The exactnatural eigenfrequencies of the rod are ωexactn =πnLqEρfor n=1,2,3,. . . .1. What is the minimum number of linear elements necessary todetermine the fundamental frequency ω1 of the system? Discretizethe rod in that many elements of equal length, assemble the globalsystem of equations KU = ω2MU, and find the fundamentalfrequency ω1. Compute the relative error e1 = (ω1 − ωexact1)/ωexact1.Sketch the fundamental mode of vibration.
Chapter 37 Solutions
AUTOMOTIVE TECHNOLOGY -W/MINDTAP ACCESS
Ch. 37 - What is another name for the diaphragm spring?Ch. 37 - What is used to measure clutch pedal play?Ch. 37 - The pressure plate moves away from the flywheel...Ch. 37 - Name three types of clutch linkages.Ch. 37 - True or False? If the fluid reservoir for a...Ch. 37 - True or False? Both the clutch and the brake...Ch. 37 - The clutch, or friction, disc is connected to the....Ch. 37 - Torsional coil springs in the clutch disc_____. a....Ch. 37 - Which of the following is probably not the cause...Ch. 37 - When the clutch pedal is released on a hydraulic...
Ch. 37 - When the clutch is disengaged, the power flow...Ch. 37 - Insufficient clutch pedal clearance results...Ch. 37 - Before making a clutch adjustment, it is necessary...Ch. 37 - The surface of the pressure plate contacts the. a....Ch. 37 - Which of the following would not cause clutch...Ch. 37 - Technician A says that clutch slippage is most...Ch. 37 - While discussing ways to determine if a pilot...Ch. 37 - While discussing the different types of pressure...Ch. 37 - While discussing the purpose of a clutch pressure...Ch. 37 - Technician A says that an oil-soaked clutch disc...Ch. 37 - While discussing different abnormal clutch noises:...Ch. 37 - Technician A says that incorrect clutch adjustment...Ch. 37 - While discussing the cause of a pulsating clutch...Ch. 37 - Technician A says that if the hydraulic clutch...Ch. 37 - Technician A says that all manual transmission...
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- Problem 1 (65 pts, suggested time 50 mins). An elastic string of constant line tension1T is pinned at x = 0 and x = L. A constant distributed vertical force per unit length p(with units N/m) is applied to the string. Under this force, the string deflects by an amountv(x) from its undeformed (horizontal) state, as shown in the figure below.The PDE describing mechanical equilibrium for the string isddx Tdvdx− p = 0 . (1)(a) [5pts] Identify the BCs for the string and identify their type (essential/natural). Writedown the strong-form BVP for the string, including PDE and BCs.(b) [10pts] Find the analytical solution of the BVP in (a). Compute the exact deflectionof the midpoint v(L/2).(c) [15pts] Derive the weak-form BVP.(d) [5pts] What is the minimum number of linear elements necessary to compute the deflection of the midpoint?(e) [15pts] Write down the element stiffness matrix and the element force vector for eachelement.arrow_forwardProblem 1 (35 pts). An elastic string of constant line tension1 T is pinned at x = 0 andx = L. A constant distributed vertical force per unit length p (with units N/m) is appliedto the string. Under this force, the string deflects by an amount v(x) from its undeformed(horizontal) state, as shown in the figure below.Force equilibrium in the string requires thatdfdx − p = 0 , (1)where f(x) is the internal vertical force in the string, which is given byf = Tdvdx . (2)(a) [10pts] Write down the BVP (strong form) that the string deflection v(x) must satisfy.(b) [2pts] What order is the governing PDE in the BVP of (a)?(c) [3pts] Identify the type (essential/natural) of each boundary condition in (a).(d) [20pts] Find the analytical solution of the BVP in (a).arrow_forwardProblem 2 (25 pts, (suggested time 15 mins). An elastic string of line tension T andmass per unit length µ is pinned at x = 0 and x = L. The string is free to vibrate, and itsfirst vibration mode is shown below.In order to find the frequency of the first mode (or fundamental frequency), the string isdiscretized into a certain number of linear elements. The stiffness and mass matrices of thei-th element are, respectivelyESMi =TLi1 −1−1 1 EMMi =Liµ62 11 2 . (2)(a) [5pts] What is the minimum number of linear elements necessary to compute the fundamental frequency of the vibrating string?(b) [20pts] Assemble the global eigenvalue problem and find the fundamental frequency ofvibration of the stringarrow_forward
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