Additional interpretations of the solution of the straight beam differential equation
MetadataShow full item record
The fundamental differential equation of the transversely loaded straight beam, the Bernoulli-Euler equation, has been subject to various interpretive solutions. Perhaps the two best known solutions of this kind are the moment-area and conjugate beam methods which solve the equation with the aid of certain properties of the curves for the beam in question. The present paper applies two separate mathematical methods to the solution of this equation. The first method makes use of the Green's function and obtains a solution for the beam built-in both ends. The second method utilizes the so-called "superposition theorem" which is frequently applied to problems involving transient phenonema such as those encountered in electrical network and vibration problems, and obtains a solution valid for any type of support.
Showing items related by title, author, creator and subject.
Davis, Larry Thomas (Monterey, California. Naval Postgraduate School, 1971-06);Considering the case of one speed, steady state, isotropic scattering in homogeneous media with plane symmetry, this thesis developes the solution of the one-dimensional neutron transport equation by three separate techniques ...
Hintze, Donald W. (Monterey, California. Naval Postgraduate School, 1990-03);There are many problems associated with communication networks. One of the more familiar ones is the frequency assignment problem. Many approaches and techniques have been used in the past in an attempt to solve this ...
Analysis of the assignment scheduling capability for Unmanned Aerial Vehicles (ASC-U) simulation tool Nannini, Christopher J. (Monterey, California. Naval Postgraduate School, 2006-06);The U.S. Army Training and Doctrine Command (TRADOC) Analysis Center (TRAC) and the Modeling, Virtual Environments, and Simulations Institute (MOVES) at the Naval Postgraduate School, Monterey, California developed the ...