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Book Engineering Design by Geometric Programming

Download or read book Engineering Design by Geometric Programming written by Clarence Zener and published by John Wiley & Sons. This book was released on 1971 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Geometric Programming for Design Equation Development and Cost Profit Optimization  with illustrative case study problems and solutions   Third Edition

Download or read book Geometric Programming for Design Equation Development and Cost Profit Optimization with illustrative case study problems and solutions Third Edition written by Robert Creese and published by Springer Nature. This book was released on 2022-05-31 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Programming is used for cost minimization, profit maximization, obtaining cost ratios, and the development of generalized design equations for the primal variables. The early pioneers of geometric programming—Zener, Duffin, Peterson, Beightler, Wilde, and Phillips—played important roles in its development. Five new case studies have been added to the third edition. There are five major sections: (1) Introduction, History and Theoretical Fundamentals; (2) Cost Minimization Applications with Zero Degrees of Difficulty; (3) Profit Maximization Applications with Zero Degrees of Difficulty; (4) Applications with Positive Degrees of Difficulty; and (5) Summary, Future Directions, and Geometric Programming Theses & Dissertations Titles. The various solution techniques presented are the constrained derivative approach, condensation of terms approach, dimensional analysis approach, and transformed dual approach. A primary goal of this work is to have readers develop more case studies and new solution techniques to further the application of geometric programming.

Book Advances in Geometric Programming

Download or read book Advances in Geometric Programming written by Mordecai Avriel and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1961, C. Zener, then Director of Science at Westinghouse Corpora tion, and a member of the U. S. National Academy of Sciences who has made important contributions to physics and engineering, published a short article in the Proceedings of the National Academy of Sciences entitled" A Mathe matical Aid in Optimizing Engineering Design. " In this article Zener considered the problem of finding an optimal engineering design that can often be expressed as the problem of minimizing a numerical cost function, termed a "generalized polynomial," consisting of a sum of terms, where each term is a product of a positive constant and the design variables, raised to arbitrary powers. He observed that if the number of terms exceeds the number of variables by one, the optimal values of the design variables can be easily found by solving a set of linear equations. Furthermore, certain invariances of the relative contribution of each term to the total cost can be deduced. The mathematical intricacies in Zener's method soon raised the curiosity of R. J. Duffin, the distinguished mathematician from Carnegie Mellon University who joined forces with Zener in laying the rigorous mathematical foundations of optimizing generalized polynomials. Interes tingly, the investigation of optimality conditions and properties of the optimal solutions in such problems were carried out by Duffin and Zener with the aid of inequalities, rather than the more common approach of the Kuhn-Tucker theory.

Book Geometric programming   an approach to optimizing engineering design

Download or read book Geometric programming an approach to optimizing engineering design written by Theodore S. Glassman and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Geometric Programming for Design and Cost Optimization

Download or read book Geometric Programming for Design and Cost Optimization written by Robert Creese and published by Springer Nature. This book was released on 2009-10-11 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric programming is used for design and cost optimization and the development of generalized design relationships and cost rations for specific problems. The early pioneers of the process, Zener, Duffin, Peterson, Beightler, and Wilde, played important roles in the development of geometric programming. The theory of geometric programming is presented and 10 examples are presented and solved in detail. The examples illustrate some of the difficulties encountered in typical problems and techniques for overcoming these difficulties. The primal-dual relationships are used to illustrate how to determine the primal variables from the dual solution. These primal-dual relationships can be used to determine additional dual equations when the degrees of difficulty are positive. The goal of this work is to have readers develop more case studies to further the application of this exciting mathematical tool. Table of Contents: Introduction / Brief History of Geometric Programming / Theoretical Considerations / Trash Can Case Study / Open Cargo Shipping Box Case Study / Metal Casting Cylindrical Riser Case Study / Process Furnace Design Case Study / Gas Transmission Pipeline Case Study / Journal Bearing Design Case Study / Metal Casting Hemispherical Top Cylindrical Side Riser / Liquefied Petroleum Gas(LPG) Cylinders Case Study / Material Removal/Metal Cutting Economics Case Study / Summary and Future Directions

Book Geometric Programming for Design and Cost Optimization

Download or read book Geometric Programming for Design and Cost Optimization written by Robert C. Creese and published by Morgan & Claypool Publishers. This book was released on 2009-10-26 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are numerous techniques of optimization methods such as linear programming, dynamic programming, geometric programming, queuing theory, statistical analysis, risk analysis, Monte Carlo simulation, numerous search techniques, etc. Geometric programming is one of the better tools that can be used to achieve the design requirements and minimal cost objective. Geometric programming can be used not only to provide a specific solution to a problem, but it also can in many instances give a general solution with specific design relationships. These design relationships based upon the design constants can then be used for the optimal solution without having to resolve the original problem. This fascinating characteristic appears to be unique to geometric programming. The purpose of this text is to introduce manufacturing engineers, design engineers, manufacturing technologists, cost engineers, project managers, industrial consultants and finance managers to the topic of geometric programming.

Book Geometric Programming for Design Equation Development and Cost Profit Optimization

Download or read book Geometric Programming for Design Equation Development and Cost Profit Optimization written by Robert C. Creese and published by Morgan & Claypool. This book was released on 2016-12-27 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Programming is used for cost minimization, profit maximization, obtaining cost ratios, and the development of generalized design equations for the primal variables. The early pioneers of geometric programming--Zener, Duffin, Peterson, Beightler, Wilde, and Phillips--played important roles in its development. Five new case studies have been added to the third edition. There are five major sections: (1) Introduction, History and Theoretical Fundamentals; (2) Cost Minimization Applications with Zero Degrees of Difficulty; (3) Profit Maximization Applications with Zero Degrees of Difficulty; (4) Applications with Positive Degrees of Difficulty; and (5) Summary, Future Directions, and Geometric Programming Theses & Dissertations Titles. The various solution techniques presented are the constrained derivative approach, condensation of terms approach, dimensional analysis approach, and transformed dual approach. A primary goal of this work is to have readers develop more case studies and new solution techniques to further the application of geometric programming.

Book Engineering Design Optimized with Geometric Programming

Download or read book Engineering Design Optimized with Geometric Programming written by Robert E. D. Woolsey and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Conceptual Engineering Design and Optimization Methodologies Using Geometric Programming

Download or read book Conceptual Engineering Design and Optimization Methodologies Using Geometric Programming written by Berk Öztürk and published by . This book was released on 2018 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric programs (GPs) and other forms of convex optimization have recently experienced a resurgence due to the advent of polynomial-time solution algorithms and improvements in computing. Observing the need for fast and stable methods for multidisciplinary design optimization (MDO), previous work has shown that geometric programming can be a powerful framework for MDO by leveraging the mathematical guarantees and speed of convex optimization. However, there are barriers to the implementation of optimization in design. In this work, we formalize how the formulation of non-linear design problems as GPs facilitates design process. Using the principles of pressure and boundedness, we demonstrate the intuitive transformation of physics- and data-based engineering relations into GP-compatible constraints by systematically formulating an aircraft design model. We motivate the difference-of-convex GP extension called signomial programs (SPs) in order to extend the scope and fidelity of the model. We detail the features specific to GPkit, an object-oriented GP formulation framework, which facilitate the modern engineering design process. Using both performance and mission modeling paradigms, we demonstrate the ability to model and design increasingly complex systems in GP, and extract maximal engineering intuition using sensitivities and tradespace exploration methods. Though the methods are applied to an aircraft design problem, they are general to models with continuous, explicit constraints, and lower the barriers to implementing optimization in design.

Book Scientific and Technical Aerospace Reports

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Logic and Programming

    Book Details:
  • Author : Michel. Parent
  • Publisher : Springer Science & Business Media
  • Release : 2013-06-29
  • ISBN : 1461598583
  • Pages : 184 pages

Download or read book Logic and Programming written by Michel. Parent and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: In contrast to the effortless ease with which human beings control their limbs, the design of controllers for robotic manipulator arms is a detailed, meticulous business. Motors controlling the arms need to be started and stopped at just the right moment so that the performance demanded by the user may be achieved at the end of a complicated manoeuvre. And yet, the same user wishes to express the task for the robot in the simplest possible terms without reference to the minute details of control sequences that his task demands. It is the design of such inter faces between man and machine that is the subject of trus volume. Parent and Laurgeau develop the subject in a direct and logical order. They first explain the principles of maximal effort control which not only ensure that motors are driven to provide high accuracy, but also that this should be done with the least waste of energy and in the shortest possible time. In this context, they describe the operation of pneumatic logical devices that make rapid decisions at power levels that exceed, by several orders, those that can be achieved with electronic devices. They achieve this whilst keeping the reader aware of the logical principles that are involved in the design of master control units: the devices responsible for appropriate actions being taken as a function of time.

Book A Worker centered Approach to Convex Optimization in Engineering Design

Download or read book A Worker centered Approach to Convex Optimization in Engineering Design written by Edward E. Burnell and published by . This book was released on 2020 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design tools shape what engineers and their organizations consider desirable. In particular, "design models" that implement interactions amongst parameters are central to the work of early-stage concept development. Such models delimit the space of designs under consideration, and are built to intentionally expand, explore, or shrink that space. Engineers often develop close relationships with their models, seeing them as mirrors to their own cognition. Within an organization these models also work as rhetorical reinforcement, as maps labeled to argue for particular design decisions, and it is often within and around design models that workers' perspectives clash and coalesce. Design models are thus loci for understanding what might be built which encode decisions on why: they are mathematical artifacts, but so deeply intertwined with design process and practice that to see them purely mathematically misses much of what makes them interesting. This thesis establishes design models and their design spaces as inextricable from user experience. Specifically, although convex optimization is rarely analyzed for human factors, there is a great deal of overlap between convexity and design work. Such findings inform and are informed by GPkit, a modeling language for geometric programming developed by the author and used daily in both industry and academia. How organizations incorporated GPkit emerged from and inspired its syntax and algorithms, a two-way flow between mathematical structure and worker knowledge that formed contributions both to the formulation and interpretation of convex programs and to understandings of early-stage engineering design. For instance, dual solutions are generally more valuable than an "optimal design", and from this insight are drawn novel algorithms and design methods. There is great potential for software that collaborates with workers, for no-one knows as well as they how technology structures each day's work. This thesis demonstrates that conducting research with this in mind, as a participant in a worker-centered community of inquiry, can improve engineering design. Technology shapes what is considered desirable, and any success of this research has lain in taking that as both an opportunity and a responsibility.

Book The Extension of Geometric Programming to Optimal Mechanical Design

Download or read book The Extension of Geometric Programming to Optimal Mechanical Design written by Kenneth Unklesbay and published by . This book was released on 1971 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book NASA SP 7500

    Book Details:
  • Author : United States. National Aeronautics and Space Administration
  • Publisher :
  • Release : 1980
  • ISBN :
  • Pages : 180 pages

Download or read book NASA SP 7500 written by United States. National Aeronautics and Space Administration and published by . This book was released on 1980 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: