PEI-LING LIULin, Hwei-TserHwei-TserLin2009-02-042018-06-292009-02-042018-06-29199600207683http://ntur.lib.ntu.edu.tw//handle/246246/119694https://www.scopus.com/inward/record.uri?eid=2-s2.0-0030214220&doi=10.1016%2f0020-7683%2895%2900180-8&partnerID=40&md5=40c6bdb5447d3ddb49be80a714127af0A method for identifying the flexural rigidities of a non-uniform beam is developed in this paper. The finite element method is used to derive the equilibrium equation of the beam. The identification problem is then formulated as an optimization program in which the error norm of the equilibrium equation is minimized. The proposed method has the following features : (1) it uses longitudinal strains as the primary test data ; (2) the solution is unique and global minimal ; (3) the method can be applied to a whole beam as well as a part of a beam ; (4) the method is very stable. The identifiability of the inverse problem is studied in depth. Two numerical examples are presented to demonstrate the proposed method. Finally, a model test is performed to examine the effectiveness of the method in real applications. Copyright © 1996 Elsevier Science Ltd.application/pdf1023358 bytesapplication/pdfen-USError analysis; Finite element method; Identification (control systems); Inverse problems; Mechanical properties; Mechanical testing; Optimization; Strain; Equilibrium equation; Flexural rigidity; Model test; Non uniform beam; Static strain; Beams and girdersjournal article10.1016/0020-7683(95)00180-82-s2.0-0030214220WOS:A1996UN17700005http://ntur.lib.ntu.edu.tw/bitstream/246246/119694/1/04.pdf