OPTIMAL DESIGN OF TIMBER-FRAME BUILDINGS
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Abstract
The problem of optimal design of timber frame structures is addressed. A computational algorithm has been developed and tested for selecting the cross-sectional areas of structural elements to minimize material volume while satisfying code requirements for strength and stiffness. The mathematical model is formalized as a nonlinear programming problem and solved using a method based on a modified Lagrange function, which ensures a wide convergence region. The algorithm was implemented in the MathCAD software environment, ensuring clarity and making it accessible to design engineers. To verify the optimization results, validation calculations were performed using the Lira-Soft software (CAD system). The research results demonstrated the robust convergence of the developed algorithm and the high accuracy of the obtained solutions. A demonstration of its practical applicability is provided using an example of an actual frame structure.
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