Analytical solution to the dynamic analysis of laminated beams using higher order refined theory

Kant, Tarun; Marur, Sudhakar R.; Rao, G. Sambasiva

doi:10.1016/s0263-8223(97)00133-5

Cited by 86 publications

(40 citation statements)

References 35 publications

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“…The non-dimensional natural frequencies ( ω ) obtained from the present investigation are compared in Table 6, with the first order beam theory FOBT (4a) by Marur and Kant (1996), HOBT by Kant et al (1998) and the mixed theory by Rao et al (2001) and FEM solution by Ramtekkar et al (2002). Results have been observed to be in very good agreement with the HOBT and the mixed theory.…”

Section: Examplesupporting

confidence: 62%

Multi-model finite element scheme for static and free vibration analyses of composite laminated beams

Band

Desai

2015

Lat. Am. j. solids struct.

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A transition element is developed for the local global analysis of laminated composite beams. It bridges one part of the domain modelled with a higher order theory and other with a 2D mixed layerwise theory (LWT) used at critical zone of the domain. The use of developed transition element makes the analysis for interlaminar stresses possible with significant accuracy. The mixed 2D model incorporates the transverse normal and shear stresses as nodal degrees of freedom (DOF) which inherently ensures continuity of these stresses. Non critical zones are modelled with higher order equivalent single layer (ESL) theory leading to the global mesh with multiple models applied simultaneously. Use of higher order ESL in non critical zones reduces the total number of elements required to map the domain. A substantial reduction in DOF as compared to a complete 2D mixed model is obvious. This computationally economical multiple modelling scheme using the transition element is applied to static and free vibration analyses of laminated composite beams. Results obtained are in good agreement with benchmarks available in literature.

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Section: Examplesupporting

confidence: 62%

Multi-model finite element scheme for static and free vibration analyses of composite laminated beams

Band

Desai

2015

Lat. Am. j. solids struct.

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“…For analytical approach, Navier solution is the simplest one, which is only applicable for simply supported boundary conditions ( [18][19][20]). In order to deal with arbitrary boundary conditions, many reseachers developed different methods.…”

Section: Introductionmentioning

confidence: 99%

Trigonometric-series solution for analysis of laminated composite beams

Nguyen

et al. 2017

Composite Structures

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“…Higher order shear deformation theories (HSDT) were also developed for composite beams to address issues of cross sectional warping and transverse normal strains. Some were validated for cross-ply laminates (Khdier and Reddy, 1997; Kant et al, 1998;Matsunaga, 2001;Subramanian, 2006). Other theories like zigzag theory (Kapuria et al 2004) were used to satisfy continuity of transverse shear stress through the laminate and showed to be accurate for natural frequency calculations of beams with specific geometry and lay-up (symmetric or cross-ply laminates).…”

Section: Dynamic Analysismentioning

confidence: 99%