The design done mathematically and based on principal of mechanics of machine is known as
Rational design
Rational Design: The Foundation of Engineering Mechanics
In the field of engineering, various approaches are employed for the creation and development of products and systems. The question asks about a specific type of design that is fundamentally mathematically driven and relies heavily on the principles of mechanics of machine. This particular approach ensures that the design is not only functional but also theoretically sound and predictable in its performance.
Design Rooted in Mathematics and Mechanics
The type of design that is carried out mathematically and precisely follows the principles of mechanics of machine is known as Rational design. This term signifies a systematic and scientific approach to engineering design.
- Rational design involves using established scientific laws, engineering formulas, and mathematical models to predict the behavior, strength, and performance of components and systems.
- It means that every decision in the design process, from material selection to component sizing, is backed by calculations and theoretical understanding derived from the mechanics of machines and materials science.
- For example, when designing a gear train, a rational designer would use formulas from the mechanics of machines to calculate tooth stresses, power transmission, and efficiency, ensuring the design meets specific criteria and performs reliably.
Distinguishing Rational Design from Other Design Approaches
To better understand why Rational design is the relevant answer, let's briefly look at the other options provided and how they differ:
| Design Type | Core Characteristics | Relationship to Mathematics & Mechanics |
|---|---|---|
| Rational design | Based on scientific laws, mathematical analysis, and principles of mechanics of machine. Aims for predictability and theoretical soundness. | Directly uses mathematical equations and mechanics of machines principles for every aspect of the design. |
| Industrial design | Focuses on aesthetics, ergonomics, user experience, and market appeal. It's about how a product looks and feels. | Less direct reliance on deep mathematical modeling for core functionality, though engineering feasibility (often based on rational design) is considered. |
| Optimum design | Aims to achieve the best possible performance or characteristic (e.g., minimum weight, maximum efficiency) under a given set of constraints. Often uses advanced optimization algorithms. | While heavily mathematical, it's a specific goal of design (optimization) rather than the fundamental approach based on mechanics of machines principles for initial sizing and functionality. Rational design often forms the basis for optimum design. |
| Empirical design | Based on experience, trial and error, past successful designs, or experimental data rather than fundamental theoretical analysis. | Relies less on theoretical mathematical derivation from first principles of mechanics of machines and more on observed results or established practices. |
The question specifically highlights the reliance on being "done mathematically" and "based on principal of mechanics of machine". This precise description aligns perfectly with the definition of Rational design, which is grounded in scientific principles and rigorous engineering calculations to ensure functionality and reliability.
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