The Captains of Energy: Systems Dynamics from an Energy Perspective
暫譯: 能源的掌舵者:從能源視角看系統動力學
Vincent C. Prantil, Timothy Decker
- 出版商: Morgan & Claypool
- 出版日期: 2015-02-01
- 售價: $2,410
- 貴賓價: 9.5 折 $2,290
- 語言: 英文
- 頁數: 218
- 裝訂: Paperback
- ISBN: 1627055886
- ISBN-13: 9781627055888
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商品描述
In teaching an introduction to transport or systems dynamics modeling at the undergraduate level, it is possible to lose pedagogical traction in a sea of abstract mathematics. What the mathematical modeling of time-dependent system behavior offers is a venue in which students can be taught that physical analogies exist between what they likely perceive as distinct areas of study in the physical sciences. We introduce a storyline whose characters are superheroes that store and dissipate energy in dynamic systems. Introducing students to the overarching conservation laws helps develop the analogy that ties the different disciplines together under a common umbrella of system energy. In this book, we use the superhero cast to present the effort-flow analogy and its relationship to the conservation principles of mass, momentum, energy, and electrical charge. We use a superhero movie script common to mechanical, electrical, fluid, and thermal engineering systems to illustrate how to apply the analogy to arrive at governing differential equations describing the systems' behavior in time. Ultimately, we show how only two types of differential equation, and therefore, two types of system response are possible. This novel approach of storytelling and a movie script is used to help make the mathematics of lumped system modeling more approachable for students.
商品描述(中文翻譯)
在本科階段教授運輸或系統動力學建模的入門課程時,可能會在抽象數學的海洋中失去教學的牽引力。時間依賴系統行為的數學建模提供了一個平台,讓學生可以學習到物理類比的存在,這些類比連結了他們可能認為是物理科學中不同研究領域的內容。我們引入了一個故事情節,其角色是能在動態系統中儲存和耗散能量的超級英雄。向學生介紹整體的守恆定律有助於發展一種類比,將不同的學科統合在系統能量的共同範疇下。在本書中,我們利用超級英雄的角色來呈現努力-流動類比及其與質量、動量、能量和電荷守恆原則的關係。我們使用一個常見於機械工程、電氣工程、流體工程和熱工程系統的超級英雄電影劇本,來說明如何應用這一類比,以推導出描述系統隨時間行為的控制微分方程。最終,我們展示了只有兩種類型的微分方程,因此只有兩種類型的系統響應是可能的。這種講故事和電影劇本的創新方法旨在幫助學生更容易理解集中系統建模的數學。