The Systems of Mathematical Functions as Input Strategies for Contemporary Industrial Product Design

Abstract

This research emphasizes the crucial role of functions in elucidating physical relationships and diverse applications across scientific domains, particularly in the realm of design. The study investigates the contemporary and applied nature of design methodologies, employing real mathematical functions in the creation of industrial products within an organizational framework. The primary objective is to delineate the systems of functions (inputs and outputs) in industrial product design based on a well-defined strategy. The theoretical foundation encompasses design strategy and its correlation with applied scientific disciplines, elucidating key function types and their systems in industrial product design (inverse function, constant function, and quadratic function), as well as the kinematics of industrial products. The research findings highlight that mathematical functions serve as organizational strategies derived from kinetic equations, offering the requisite configuration (position and rotation) for product movement. Designers rely on specific functions, considering both essential functionality and overall form. Moreover, these functions are integral to formulating strategies that facilitate the seamless integration of shape and function. This study contributes valuable insights into the strategic aspects of industrial product design, emphasizing the pivotal role of mathematical functions in achieving a harmonious synthesis of form and function.