Artigo
The first frequency of cantilevered bars with geometric effect: a mathematical and experimental evaluation
Registro en:
Journal Of The Brazilian Society Of Mechanical Sciences And Engineering. Rio De Janeiro Rj: Abcm Brazilian Soc Mechanical Sciences & Engineering, v. 35, n. 4, p. 457-467, 2013.
1678-5878
10.1007/s40430-013-0043-9
WOS:000324128000011
WOS000324128000011.pdf
Autor
Wahrhaftig, Alexandre de M.
Brasil, Reyolando M. L. R. F.
Balthazar, Jose M. [UNESP]
Resumen
In engineering, a large number of structures may be modeled as cantilevers. Due to their intrinsic characteristics, some of these structures are sensitive to dynamic actions. Gusts of wind are dynamic excitations for which the fundamental frequency of vibration is an important factor when calculating the structural response. Modeling the effects of the axial force on the natural frequencies of a structure usually results in systems of differential equations that are not solvable from a practical engineering perspective. This article develops a simple mathematical expression for calculating the fundamental frequency of cantilevered structures, within small ranges, that considers the presence of an axial demand. This expression has been validated by dynamic laboratory testing. Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fed Univ Bahia UFBa, Polytech Sch, Dept Construct & Struct, BR-40210630 Salvador, BA, Brazil Univ Sao Paulo, Polytech Sch, Dept Struct & Geotech Engn, BR-05508900 Sao Paulo, Brazil Paulista State Univ UNESP, Dept Stat Appl Math & Computat, Inst Geosci & Exact Sci, BR-13500230 Rio Claro, SP, Brazil Paulista State Univ UNESP, Dept Stat Appl Math & Computat, Inst Geosci & Exact Sci, BR-13500230 Rio Claro, SP, Brazil