The paper considers shape optimization of Euler–Bernoulli beams with circular, square and
rectangular cross-sections made of axially functionally graded materials at a prescribed …

This letter studies a new formulation for the kinematics of a knife-edge moving on an
arbitrary smooth surface in. The kinematics equations for a knife-edge, viewed as a rigid …

The paper considers the brachistochronic motion of a wheeled vehicle on a horizontal plane
surface. The objective is to transfer the vehicle from the specified initial position with given …

This paper analyzes the problem of brachistochronic planar motion of a mechanical system
with nonlinear nonholonomic constraint. The nonholonomic system is represented by two …

This paper presents a motion planning strategy for a knife-edge moving on the surface of a
hyperboloid. First, kinematics equations for the knife-edge are developed without the use of …

A new approach for the determination of the global minimum time for the case of the
brachistochronic motion of the Chaplygin sleigh is presented. The new approach is based …

The problem of determining the optimum shape of a homogeneous Euler–Bernoulli beam of
a circular cross-section, in which the coupled axial and bending vibrations arose due to …

We consider the brachistochrone problem of the particle with a preselected interval for the
normal reaction force value as well as the terminal position of the particle lying on an …

The paper considers the brachistochronic motion of a variable mass nonholonomic
mechanical system [3] in a horizontal plane, between two specified positions. Variable mass …

The paper considers the procedure for determining the brachistochronic motion of the
Chaplygin sleigh in a vertical plane, where the blade is such that it prevents the motion of …