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Mathematical Modeling of Welding Precision: A Technical Guide
This academic textbook, authored by Vladimir Petrovich Sidorov and Anna Viktorovna Melzitdinova, offers a rigorous analysis of welding process accuracy through mathematical modeling. The work focuses on heat distribution from a normal-circular heat source (NCHS) on a flat surface layer, providing a methodology for determining model coefficients based on experimental weld seam dimensions. A key contribution is the universal disturbance evaluation criterion—the relative transfer coefficient (OKPV)—which applies to both welding modes and conditions, with calculations performed for various welding techniques. The text explores automatic control systems for weld pool dimensions, leveraging mathematical models to enhance precision. It also addresses probabilistic disturbance impacts on parameter accuracy, demonstrating that regulation via an analytical NCHS model is an effective strategy for maintaining required tolerances. Designed for educators, postgraduates, and students at higher and specialized technical institutions, this guide bridges theoretical modeling and practical welding applications. Please note that the content is based on the publisher’s description; no independent verification of specific experimental results or model parameters has been conducted.
