The study of nonlinear vibrations of systems having two
degrees of freedom has met considerable attention during the past
few years. Nonlinear symmetrical systems have received most of it.
Normal mode motion of a system is defined as a periodic motion
such that the masses of the system assume repeated...
A mechanism is a constrained kinematic chain composed of
gears, links, cams, or the like. Mechanisms are the building blocks
of all machines, and, as such, their evaluation is of considerable
importance to the mechanical designer. Because the mathematical
analyses of systems with four or more moving members has been...
These studies are concerned with the forced motion of a two-degree-of-freedom system consisting of a "flexible beam" supported
by pendulum type hangers.
Using an asymptotic method, an approximate solution to the
nonlinear equations of motion was found. The solution takes the form
of a series in powers of the amplitude...
This thesis deals with the effect of pressure coupling on the
stresses in shells having geometric discontinuities. The problems
are, 1) cylinder with an axially symmetric thickness change and
2) cylinder with a hemispherical end closure. Solutions to the
above problems are based on differential equations that included the
straightening...
The Timoshenko beam theory, as an engineering alternative to
the elementary and exact theories, introduces a factor, k', called
the shear coefficient which has been given various interpretations and
values. It is the objective of this study to experimentally evaluate
k' for a brass bar of rectangular cross-section.
Analytical results...
The crankshaft of an internal combustion engine
experiences torsional vibrations which become critical at
certain running speeds and can cause overstressing in the
crankshaft, leading to failure in some cases.
The object of this study was to design, construct and
test an instrument to measure these oscillations at one
point...
The stability of small oscillations of the troposkeinshaped
blade used on Darrieus wind turbines is investigated.
The blade is assumed to be attached to a perfectly rigid rotor
shaft and spinning in still air. Linear equations of motion are
derived which include the effects of in-plane, out-of-plane,
and torsional stiffness,...
To design and precisely control a manipulator requires
developing an efficient dynamic model of the system. The
present work demonstrates how this can be accomplished by
employing Kane's dynamical equations. First, a detailed
manual derivation of the equations of motion for a
particular robot is presented in such way that...
For control of a flexible manipulator, the assumed- mode method is applied to the mathematical model of the model reference adaptive system. In the assumed-mode method, the flexible, continuous manipulator is described by a limited number of degrees of freedom. A modified model reference adaptive system is studied for direct...