Conference Session

Integrating Math, Science and Engineering

Collection

2008 Annual Conference & Exposition

Authors

Josue Njock-Libii

Tagged Divisions

Mathematics

Eq.(3) is a reliable modelfor the oscillations of a mass that is suspended to a linear spring in a laboratory setting.The remainder of this paper is organized in the following manner: first, the Fouriertheorem is stated and its use in the present context is discussed. Then, the design of theexperiment is presented. Next, experimental data are presented and analyzed using theFourier theorem to generate the Fourier coefficients. Finally, these experimentalcoefficients are compared to those derived from the solution of the differential equationitself.The Fourier theorem and its useIf x(t) is a periodic function with period k, its Fourier series representation is given by a0x (t ) ? - (a1 cosyt - b1 sin yt ) - (a2 cos 2yt - b2 sin 2yt

Conference Session

Engineering and Math Potpouri

Collection

2008 Annual Conference & Exposition

Authors

Jeffrey Fong, National Institute of Standards and Technology; James Filliben, National Institute of Standards and Technology; Alan Heckert, National Institute of Standards and Technology; Roland deWit, National Institute of Standards and Technology

Tagged Divisions

Mathematics

Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, Pennsylvania, and was invited to teach graduate-level courses entitled "Finite Element Method with Uncertainty Analysis," and "Failure Analysis and Engineering Safety." Elected Fellow of the American Society for Testing and Materials (ASTM) in 1982, Fellow of the American Society of Mechanical Engineers (ASME) in 1984, and an ASME National Distinguished Lecturer from 1988 to 1992, Dr. Fong received in 1993 one of ASME's highest awards, the Pressure Vessel and Piping Medal.James Filliben, National Institute of Standards and Technology James J. Filliben is currently Leader of the Statistical

Conference Session

Engineering and Math Potpouri

Collection

2008 Annual Conference & Exposition

Authors

S.K. Sen, Florida Institute of Technology; Gholam Ali Shaykhian, NASA

Tagged Divisions

Mathematics

several book chapters. All his research and book publications are in several areas mainly in computational science. He has been teaching several courses in areas such as stochastic and deterministic operations research, applied statistical analysis, and computational mathematics since late sixties. Further, he has been a member of the editorial board of international journals such as Computer Science and Informatics (India), and Neural, Parallel and Scientific Computations (USA). He has also been cited in Marquis Whos Who (Sep 2005).Gholam Ali Shaykhian, NASA Gholam "Ali" Shaykhian is a Software Engineer with Application, Simulation and Support Software Branch, Shuttle Processing