Modal analysis of the FGM beams with effect of the shear correction function

作者：Murin J^*; Aminbaghai M; Hrabovsky J; Kutis V; Kugler S

来源：Composites Part B: Engineering , 2013, 45(1): 1575-1582.

DOI：10.1016/j.compositesb.2012.09.084

• Ceramic-matrix composites (CMCs)
• Vibration
• Mechanical properties
• Computational modelling
• FGM beams

In the proposed contribution the effect of the shear correction function is originally studied and evaluated in modal analysis of the functionally graded material (FGM) beams. Spatially continuous variations of the material properties are considered. The shear correction function is calculated from the shear strain energy equation including spatial Poisson%26apos;s ratio variations. The equations of the homogenized FGM beam free vibration and their solution is presented including the shear correction function. Four coupled differential equations are derived and used in the modal analysis of beams with polynomial continuous longitudinal and transversal variations of material properties. Further, 2nd order beam effects and longitudinal varying elastic beam foundations are considered. The influence of using an average shear correction factor is evaluated through numerical experiments. Additionally, the longitudinal eigenfrequencies are calculated. Continuum solutions using solid finite elements are taken as a reference for comparison purposes.

• 出版日期2013-2