ELASTIC CURVE-BASED ANALYSIS FOR BENT BEAM PROFILE OPTIMIZATION

2025-04-29T20:02:31+08:00

This paper investigates the selection of cross-sectional shapes for beams based on the theory of elastic bending and the shapes of elastic curves under various forms, intensities, and distributions of loads on beams with different boundary conditions. Choosing the cross-section profile shape of a bent beam is crucial for optimizing its performance under various loading conditions. Different shapes offer varying levels of efficiency in terms of strength, stiffness, and material usage. The linear elastic theory of bending is utilized to derive the differential equation of the elastic curve for bent beams. By solving this second-order differential equation using the direct integration method and the Clebsch procedure, the elastic curves are obtained. Various loading positions and scenarios are analyzed for overhanging and cantilever elastic beams, demonstrating the correlation between beam bending stiffness, shape factor, and degree of utilization of the cross-sectional shape. We apply the criterion of ultimate bending strength (flexural strength) of steel for dimensioning beams. Thus, the characteristic dimension of the profile is determined according to the maximum value of the bending moment for each type of beam, considering the values and distribution of the load. For the same bent beam and loading values, different cross-section profiles are suggested, and the maximal deflection in each case is obtained. Based on these findings, the best choice for profile selection is considered. The study also examines the relationship between shape factors and the degree of utilization of the cross-section, and the concept of the ideal shape of beams with variable stiffness along their length. The results provide insights into the optimal selection of cross-sectional shapes for beams subjected to bending, helping engineers and designers develop a sense for the most efficient selection of cross-sectional shapes.

DEVELOPMENT OF PREDICTIVE CUTTING FORCE MODELS IN TURNING USING DIFFERENT EXPERIMENTAL DESIGNS

2025-04-16T21:24:40+08:00

Cutting forces are a very important indicator of the machining process and play a significant role in defining the machinability of the material, tool wear, vibrations, temperature in the cutting zone, process accuracy, modeling, monitoring and management of the machining process. The modeling of cutting forces is relatively difficult due to a number of influencing factors and the lack of knowledge of the interaction between them. The paper discusses and compares the application of different experimental designs (full factorial design, Box–Behnken and Taguchi’s design) for the development of the main force prediction models of varying mathematical forms. Dry longitudinal single-pass turning of not heat-treated non-alloyed and low-alloyed steels with carbon content higher than 0.55% was considered. Main cutting force estimates were acquired by varying feed rate, depth of cut and rake angle and by the application of the Walter machining calculator. Initially, linear, quasi-linear, power and quadratic models were developed and compared. In addition, based on dimensional analysis (DA), an approach that reduces the number of needed experimental trials, a cutting force prediction model was proposed.

Innovative Mechanical Engineering

ELASTIC CURVE-BASED ANALYSIS FOR BENT BEAM PROFILE OPTIMIZATION

DEVELOPMENT OF PREDICTIVE CUTTING FORCE MODELS IN TURNING USING DIFFERENT EXPERIMENTAL DESIGNS