Abstract
Through the combination of theory and experiment, the natural characteristics of the fiber metal laminates thin plates under cantilever boundary are analyzed and verified. Based on the mechanics of composites and classical laminated plate theory, the theoretical model is established. The orthogonal polynomial method and the energy method are used to solve the natural characteristics. Meanwhile the calculation process is proposed. And then, the natural characteristics of a TA2/TC500 fiber metal laminates thin plate are tested. It is found that comparing the calculation results of the frequencies with the test ones, the errors are within the range of 3.4 % to 4.5 %, the trends of modal shapes are consistent as well, thus the effectiveness of above method has been verified.
Highlights
Fiber metal laminates (FMLs) are new types of composite materials, which are composed of fiber reinforced layers and metal layers alternately [1,2,3]
Taking a TA2/TC500 FMLs thin plate as the research object, the natural frequencies and modal shapes of the thin plates are tested under cantilever boundary condition
By comparing the calculation results with the experimental ones of the TA2/TC500 thin plate, it can be seen that the errors of the natural frequencies between the calculated results and the experimental ones are 3.4 % and 4.5 %, which are within an allowable error range
Summary
Fiber metal laminates (FMLs) are new types of composite materials, which are composed of fiber reinforced layers and metal layers alternately [1,2,3]. It is necessary to study the vibration characteristics of FMLs thin plates which have important engineering and academic significances in the field of theoretical analysis, dynamic design and fault diagnosis [7]. Harras [8] et al established a theoretical model of GLARE 3 fiber metal laminated thin plate under clamped boundary condition and the natural characteristics were obtained. STUDY ON NATURAL CHARACTERISTICS OF FIBER METAL LAMINATES THIN PLATES UNDER CANTILEVER BOUNDARY. Li [17] et al studied natural frequencies of C-Ti FMLs beams and plates under cantilever boundary condition by employing experiments and ABAQUS finite element method. A theoretical model of FMLs under cantilever boundary condition is established based on composite mechanics and classic laminate plate theory. Theoretical solution of the natural characteristics of the fiber metal laminates thin plates under the cantilever boundary
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