Questions and Answers of Fundamentals Of Vehicle Dynamics And Modelling

=+Let us consider the double pendulum undergoing 2-D motion in a gravity field g as already introduced in Example 1.4. Using as generalized coordinates the relative angular displacements as shown on
=+Problem 1.4 Let us consider the guided double pendulum of Figure 1.14.c where a mass m1 is prescribed to move without friction on a bar making an angle ???? with respect to the vertical direction.
=+2. the velocity ????̇ , namely the angular velocity of the bar relative to the wheel remains constant.
=+1. the reaction force in the rigid link is also constant and the bar is always under traction;
=+– If m1 = m2 = m and if no force is applied to the system, show that
=+– Find the equations of motion in terms of the displacements d1 and d2 of the masses along the grooves.
=+roblem 1.5 Consider the rotating system of Figure 1.14.d. A wheel is rotating with constant angular velocity ???? imposed to the system. Two masses m1 and m2 slide without friction into the
=+– Sketch the trajectories of both pendulums in the phase plane (????, ????̇).
=+– Determine the angular velocities of both pendulums just after the shock.
=+− and the angular velocity of the moving pendulum just before the shock.
=+– Determine the collision time t
=+They are aligned so that there is no reaction force in the equilibrium position ????1 = ????2 = 0.Assuming that one of the pendulums is displaced from its equilibrium position and released from an
=+Problem 1.11 Let us consider the system of Figure 1.15.f made of 2 identical pendulums of mass m, length and moving in a gravity field g.
=+Using the generalized coordinates s and ????, respectively the position of the mass on the rod and the angle between the horizontal direction and the rod, write the kinetic and potential energies
=+A second linear spring k2 is attached to the end of the rod (zero natural length). This spring is attached to a massless slider so that it remains vertical. Gravity acts in the vertical direction.
=+Problem 1.10 The mass m shown in Figure 1.15.e slides without friction on a massless rod of length . The mass is attached to a linear spring k1 aligned with the rod (natural length a).
=+Write the kinetic and potential energy of the system using x and ???? as degrees of freedom, then find the equations of motion of the system.
=+Problem 1.9 A mass m slides without friction on a rod positioned at a fixed angle ???? with respect to the horizontal direction (Figure 1.15.d). The mass is fixed to a nonlinear spring developing a
=+Problem 1.8 Repeat the exercise of the double pendulum described in Problem 1.3 but now using absolute coordinates as displayed on Figure 1.15.c. Compare the equations of motion obtained with both
=+3. Find the equation of motion using the Lagrange formalism.
=+2. Compute the kinetic and potential energy of the entire bar.
=+1. Using the angle ???? as degree of freedom, determine the absolute velocity of a point on the bar as a function of the rotation speed ????.
=+Let us consider a bar hinged on a vertical rotating shaft as described in Figure 1.15.b. The bar behaves like a pendulum in the gravity field g. The rotation speed ???? is constant and given. The
=+Gravity is acting along direction y. The spring has a natural length equal to 0 and the system is assumed to move in the plane (x, y). Find the equations of motions using the Lagrange equations.
=+For the mass on a linear spring depicted in Figure 1.15.a write the potential and kinetic energies using the angle ???? and the length of the spring as generalized coordinates.
Given a passenger car with the following parameters:Mass: 2000 kg Wheelbase: 2.3 m Distance from the centre of mass to the rear axle: 1.2 m Height of the centre of mass: 0.6 m (above the ground)Rear
Consider a vehicle with the following parameters:Mass: 2000 kg Wheelbase (a+b): 2.3 m Weight distribution (%f/r): 55/45 Anti-roll bar stiffness: front only, 5 kN/m (measured by deflecting one
Suppose that you have taken a job with a recreational vehicle manufacturer. Your supervisor assigns you to a new project: a small passenger vehicle with tandem seating like a motorcycle, designed
Consider the student competition vehicle from the previous problem. If the front to rear brake force distribution fixed at 75%/25%, and the coefficient of friction of the surface is ???? = 0.8:a)
A student competition vehicle has experienced a hydraulic brake line failure, disabling the front brakes of the vehicle. Luckily, the vehicle has been designed with separate hydraulic circuits, and
Consider a vehicle with the following specifications:Front engine, inline 6 cylinder Length: 4488 mm (176.7 in)Width: 1757 mm (69.2 in)Height: 1369 mm (53.9 in)Weight: 1505 kg (3318 lb)Wheelbase:
Consider the snow plow shown in Problem 3.3. Assume that the snow loads on the plow can be treated as normal forces with a uniform distribution over the height of the plow, and that the blade is
Given a vehicle with the following specifications:Four wheel drive, front engine, high output 5.9-liter turbo Diesel, six-cylinder inline Weight: 3000 kg Wheelbase: 3.5 m Weight distribution (%f/r):
Consider a truck with the following specifications:Mass: 2300 kg Wheelbase: 2.5 m Centre of mass location: 1.0 m behind the front axle Centre of mass height: 0.7 m above the ground Drive axle ratio:
One of the common design compromises that must be made in vehicle design is in suspension stiffness. Typically, a softer suspension helps to improve both ride and tire grip, but allows excessive body

Showing 500 - 600 of 535

1
2
3
4
5
6