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1. Nishawala, Vinesh, 1987-. A study of large deflection of beams and plates.

Degree: MS, Mechanical and Aerospace Engineering, 2011, Rutgers University

URL: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000057650

For a thin plate or beam, if the deformation is on the order of the thickness and remain elastic, linear theory may not produce accurate results as it does not predict the in plane movement of the member. Therefore, a geometrically nonlinear, large deformation theory is required to account for the inconsistencies. This thesis discusses nonlinear bending and vibrations of simply-supported beams and plates. Theoretical results are compared with other well-known solutions. The effects of geometric nonlinearities are discussed. The equation of motion for plates with `stress-free' and `immovable' edges are derived using modal analysis in conjunction with the expansion theorem. Theoretical results are compared with a finite element simulation for plates. `Immovable' edges are studied for beams. For large bending of beams with `stress-free' edges, a theory by Conway is presented. A brief introduction to Duffing's equation and Gaussian curvature is presented and their relevance to nonlinear deformations are discussed.
*Advisors/Committee Members: Nishawala, Vinesh, 1987- (author), Baruh, Haim (chair), Benaroya, Haym (internal member), Dill, Ellis H (internal member).*

Subjects/Keywords: Plates (Engineering); Plates (Engineering) – Vibration; Girders – Vibration; Nonlinear theories

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APA (6^{th} Edition):

Nishawala, Vinesh, 1. (2011). A study of large deflection of beams and plates. (Masters Thesis). Rutgers University. Retrieved from http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000057650

Chicago Manual of Style (16^{th} Edition):

Nishawala, Vinesh, 1987-. “A study of large deflection of beams and plates.” 2011. Masters Thesis, Rutgers University. Accessed March 19, 2019. http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000057650.

MLA Handbook (7^{th} Edition):

Nishawala, Vinesh, 1987-. “A study of large deflection of beams and plates.” 2011. Web. 19 Mar 2019.

Vancouver:

Nishawala, Vinesh 1. A study of large deflection of beams and plates. [Internet] [Masters thesis]. Rutgers University; 2011. [cited 2019 Mar 19]. Available from: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000057650.

Council of Science Editors:

Nishawala, Vinesh 1. A study of large deflection of beams and plates. [Masters Thesis]. Rutgers University; 2011. Available from: http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000057650