Abstract
TODAY, DOUBLE CURVATURE SHELL PANELS ARE THE MAIN PARTS OF EACH DESIGN BECAUSE THEIR GEOMETRICAL CHARACTERISTICS PROVIDE HIGH STRENGTH TO WEIGHT RATIO, AERODYNAMIC FORM AND BEAUTY FOR THE STRUCTURES SUCH AS BOATS, SUBMARINES, AUTOMOBILES AND BUILDINGS. ALSO, FUNCTIONALLY GRADED MATERIALS WHICH PRESENT MULTIPLE PROPERTIES SUCH AS HIGH MECHANICAL AND HEAT RESISTANT, SIMULTANEOUSLY, HAVE ATTRACTED DESIGNERS. SO, AS THE FIRST STEP OF ANY DYNAMIC ANALYSIS, THIS PAPER CONCENTRATES ON PRESENTING A HIGH PRECISION AND RELIABLE METHOD FOR FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED DOUBLY CURVED SHELL PANELS. TO THIS END, PANEL IS MODELED BASED ON THIRD ORDER SHEAR DEFORMATION THEORY AND BOTH OF THE DONNELL AND SANDERS STRAIN-DISPLACEMENT RELATIONS. A NEW SET OF POTENTIAL FUNCTIONS AND AUXILIARY VARIABLES ARE PROPOSED TO PRESENT AN EXACT LEVY-TYPE CLOSE-FORM SOLUTION FOR VIBRATING FG PANEL. THE VALIDITY AND ACCURACY OF PRESENT METHOD ARE CONFIRMED BY COMPARING RESULTS WITH LITERATURE AND FINITE ELEMENT METHOD. ALSO, EFFECT OF VARIOUS PARAMETERS ON NATURAL FREQUENCIES ARE STUDIED WHICH ARE HELPFUL FOR DESIGNERS.
Highlights
Growing need of humans to optimal use of material, energy, and time forces engineers to combine multiple useful engineering ideas in their designs
Among the numerous research paper published in this area, papers presented by Wu et al (1998), Singh (1999), Messina (2003), Chaudhuri et al (2005), Redekop (2006), Biglari and Jafari (2010), and Fazzolari and Carrera (2013) are examples of papers which studied vibrational behavior of composite structures, especially doubly curved panels
Papers provided by Zahedinejad et al (2010), Alibeigloo and Chen (2010), Vel (2010), Hashemi et al (2012), Kiani et al (Kiani et al, 2012; Kiani et al, 2013), Civalek et al (Akgöz and Civalek, 2013; Civalek, 2005), Su et al (2014), and Sayyaadi et al (2014) are good examples of researches which used various geometrical theories to analyze free vibration of FG structures such as cylindrical and doubly curved panels
Summary
Growing need of humans to optimal use of material, energy, and time forces engineers to combine multiple useful engineering ideas in their designs. Papers provided by Zahedinejad et al (2010), Alibeigloo and Chen (2010), Vel (2010), Hashemi et al (2012), Kiani et al (Kiani et al, 2012; Kiani et al, 2013), Civalek et al (Akgöz and Civalek, 2013; Civalek, 2005), Su et al (2014), and Sayyaadi et al (2014) are good examples of researches which used various geometrical theories to analyze free vibration of FG structures such as cylindrical and doubly curved panels These analysis shows that higher order displacement fields gives more accurate results respect to the lower ones but higher ones are computationally expensive. A new exact closed-from solution is proposed for freely vibrating functionally graded doubly curved panel To this end, equations of motion are derived by combining third order shear deformation theory with Donnell and Sanders strain fields. The effect of different geometrical and material parameters changes on natural frequencies are investigated in various figures
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