لؤي صادق محمد علي الانصاري

STATIC ANALYSIS OF A FUNCTIONALLY GRADED BEAM UNDER THERMAL AND/ OR MECHANICAL LOAD

xperimental and artificial neural network ANN investigation of bending fatigue behavior of glass fiber/polyester composite shafts

Analytical and numerical approaches for calculating the static deflection of functionally graded beam under mechanical load

Calculating the frequency of composite plate and composite spherical shell with different boundary conditions

Effect of Notch Dimension and Location on Fatigue Life and Thermal Behavior of Low Carbon Steel (St37-2)

A Stress Intensity Factor (SIF) Mode I is calculated for longitudinal composite plate with dimensions (104 mm × 40 mm) and fiber volume fraction (37.5%).The finite element method (FEM) (ANSYS) and MFree method are used for calculating the SIF of quarter model (i.e. (52 mm × 20 mm)) with constant displacement in y- direction that is applied at the ends of the plate. The crack length, material properties of fiber and material properties of matrix affect the SIF and these parameters are studied to understand the crack growth and the fracture mechanism in composite material. The value of SIF depends on the position of crack tip in additional to the material properties of fiber and matrix. A comparison between the FEM and MFree method is made to study the advantages and disadvantages of each method and to choose the suitable method for calculating SIF for composite plate. Generally, there is a good agreement between the FEM and MFree method but there is a slightly difference between them specially when the crack length increases. This slight difference happens due to the calculation technique of SIF used in each method. This difference makes the FEM accurate than the MFree method unless increasing the number of nodes around the crack tip in MFree method.

This paper presents an analytical and numerical vibration analysis of hyper composite material beam utilizing shear deformation and rotary inertia. The hyper composite material used in this research is consists of long reinforcement fiber and composite matrix which is components are resin with short fiber. The vibration analysis of this hybrid composite material beam using development theory for the beam which the effect of transverse shear deformation and rotary inertia included. Where the results are the natural frequency and general equation of motion. Also the effect of volume fraction and types of short, long fiber and resin material on the natural frequency are investigated. The results shows the natural frequency of the hyper composite material beam increases with increase of the strength of fiber and with the increases of volume ratio of the long fiber (when uses short fiber and long fiber of the same kind).

In this work, three models are used to calculate the natural frequency of cantilever stepping beam compound from two parts. These models are Rayleigh model, modified Rayleigh model, and Finite elements model (ANSYS model). The Rayleigh model is modified by calculating the stiffness at each point of the beam. The modified Rayleigh model is much closer to the ANSYS model than the Rayleigh model. The comparison between the three methods was presented in this study and the convergence for the three methods of study was shown. The results showed the effect of the width for small and large part of beam, the length of large part of step, and the ratio of large to small width of stepping beam on the natural frequency of stepping beam. The natural frequency of stepping beam is increasing with increasing of the width of small and large parts of beam. In addition to, the natural frequency of beam is increasing with increasing the length of large width until reach to (0.52 m) and decreasing then when the modified Rayleigh model or ANSYS model are used. Index Term-Natural Frequency, Stepping Cantilever Beam, Rayleigh Method, Modified Rayleigh Method, Finite Elements Method, ANSYS, Stiffness of Beam, Equivalent Moment of Inertia, Point Equivalent Moment of Inertia.

In this research the natural frequency of a cracked simple supported beam (the crack is in many places and in different depths) is investigated analytically, experimentally and numerically by ANSYS program, and the results are compared. The beam is made of iron with dimensions of L*W*H= (0.84*0.02* 0.02m), and density = 7680kg/m3, E=200Gpa. A comparison made between analytical results from ANSYS with experimental results, where the biggest error percentage is about (7.2 %) in crack position (42 cm) and (6 mm) depth. Between Rayleigh method with experimental results the biggest error percentage is about (6.4 %) for the same crack position and depth. From the error percentages it could be concluded that the Rayleigh method gives close results to experimental than ANSYS. Also it is found that the frequency of beam when the crack is in the middle position is less than the frequency with crack near the end position.

In this paper, the non-linear analyses of beam deflection were used to calculate the modulus of elasticity of stainless steel ( grade 410) beams that exposed to heating and then cooling with different rate. Several specimens of alloy steel were heated to temperature above critical temperature AC3 at iron-carbon diagram (about 920Co) and then cooling with different cooling rate by using various cooling media. The cooling rates were (0.11, 1.2, 17, 77 and 150oC/Sec). In order to measure the modulus of elasticity of these specimens, the linear and non-linear analysis (using ANSYS V.14 Software) for calculating the deflection of beam are used in additional to experimental results of maximum deflection of beam. From the theoretical and experimental results of maximum deflection of beam, the modulus of elasticity of the specimens were calculated using statistical method and then compared the results with the experimental results from tensile stress. For calculating the modulus of elasticity, the experimental results of maximum deflection of beam at different applied load were recorded and the modulus of elasticity calculated. A very good agreement between experimental and theoretical results and the maximum error was (8%).

The Effect of Load Magnitude on Fatigue Life and Thermal Behavior of Notched Fatigue Specimen