# HW2 - ME 131 Vehicle Dynamics Homework 2 Due Tuesday...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ME 131 Vehicle Dynamics Homework 2 Due Tuesday, February 23rd, 2010 1 Definitions and Concepts a. Define Cornering Stiffness (1 pt) b. Define the understeer gradient. (1 pt) d. An understeering vehicle is generally more stable than a neutral or oversteering vehicle. When is stability in a passenger vehicle undesirable? (1 pt) 2 Understeer, Oversteer, and Eigenvalues From page 31 of Rajamani, we can see the equations of lateral motion and yaw angle. d dt ˙ y ˙ ψ = "- (2 C αf +2 C αr ) mV x- V x- (2 C αf l f- 2 C αr l r ) mV x- (2 l f C αf- 2 l r C αr ) I z V x- (2 l 2 f C αf +2 l 2 r C αr ) I z V x # ˙ y ˙ ψ + " 2 C αf m 2 l f C αf I z # δ (1) This can also be represented as ˙ x = Ax + B δ (2) Assume all parameters are fixed except for the cornering stiffness of the front and rear tires. a. Using eigenvalue analysis, find the condition necessary for stability (5 pts). Major Hint: A linear system is stable if its eigenvalues have no positive real parts. To find the eigenvaluesMajor Hint: A linear system is stable if its eigenvalues have no positive real parts....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

HW2 - ME 131 Vehicle Dynamics Homework 2 Due Tuesday...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online