According to Newton's first law (also known as the principle of inertia), a body with no net force acting on it will either remain at rest or continue to move with uniform speed in a straight line, according to its initial condition of motion.
This paper researched on the influence of pantograph head parameters on the power collection quality under the condition of motion in a curved track with a radius of 100 m.
Descartes had made a significant contribution to dynamics by showing that it is not necessary to explain why bodies in motion continue to move, and that an explanation is required only for a change in the condition of motion or rest of a given body.
For a rod of length L, diameter d, and bending stiffness κ f, its slowest relaxation time τ in a solution of viscosity η is given by τ = (c⊥/κ f )(L/ω1), where c⊥ = 4πη/[ln(L/ d) + 0.84] is the transverse drag coefficient per unit length of the rod, and ω1 is a constant of order 1 for the slowest vibrational mode, which depends on the boundary condition of motion.
Results show in detail different cases of boundary conditions, type of motion, and damping.
Even though present theory uses only four unknown variables, have strong similarities with CPT in many aspects such as boundary conditions, equation of motion and stress resultant expressions.
By applying the differential quadrature formulation and the required modified relationships for implementing the different boundary conditions, equations of motion of a circular cylindrical shell are transformed into a set of algebraic equations.
Analyzing the amplitude of self-excited vibrations, the conditions of unstable motion are defined.
