Structural Dynamics in Uncertain Environments: Micro, Nano, and Functionally Graded Beam Analysis
暫譯: 不確定環境下的結構動力學：微型、納米及功能梯度梁分析

在本書中，使用非機率方法對奈米梁、微梁和功能梯度梁的不確定性建模進行了介紹，這些方法包括區間和模糊概念。

Dr. Subrat Kumar Jena presently working as a Postdoctoral Fellow at the Department of Applied Mechanics in the Indian Institute of Technology Delhi, New Delhi, India. His academic journey includes an enriching tenure as an Honorary Postdoctoral Fellow at the Nonlinear Multifunctional Composites - Analysis & Design (NMCAD) Lab, Department of Aerospace Engineering, Indian Institute of Science (IISc), Bengaluru, India, under the mentorship of Prof. Dineshkumar Harursampath. Dr. Jena holds a PhD from the Department of Mathematics, National Institute of Technology Rourkela, Odisha, India, supervised by Prof. S. Chakraverty. His research expertise encompasses Computational Solid Mechanics, Multifunctional Materials, Applied Mathematics, Mathematical Modelling, and Uncertainty Quantification. Dr. Jena earned his M.Sc. in Mathematics and Scientific Computing from Motilal Nehru National Institute of Technology Allahabad (NIT Allahabad), Prayagraj, India. His research contributions are widely recognized, with 34 research papers in peer-reviewed international journals, 2 international conference papers, 9 book chapters, and 4 books (2 other books are ongoing) to his credit. Recently, Dr. Jena has been honoured with the "Mathematics 2022 Best PhD Thesis Award" by the Mathematics Journal, Basel, Switzerland, for his exceptional research work. This accolade came with a prize of CHF 500 and a certificate, marking a significant milestone in his academic journey. In addition, Dr. Jena has received an IOP Publishing Top-Cited Paper Award in 2021 and 2022 from India, published across the entire IOP Publishing journal portfolio in the past three years i.e., 2018-2020 and 2019-2021, respectively, for his paper that ranked among the top 1% of the most-cited papers in the materials subject category. In 2020-2021, one of his papers published in ZAMM - Journal of Applied Mathematics and Mechanic (Wiley) was among the most cited papers. Furthermore, three of his papers have been recognized as the best-cited papers published in the Curved and Layered Structures Journal (De Gruyter). His contributions to the field of shell buckling, particularly in the area of static or dynamic analysis of general structures, have been acknowledged, as he is included in the Shell Buckling website as "Shell Buckling People." He has also featured in Stanford University's Top 2% Most Influential Scientists List multiple times. Dr. Jena's eminence as a reviewer and guest editor for many prestigious international journals is underscored by his review of over 100 manuscripts.

Prof. S. Chakraverty has 30 years of experience as a researcher and teacher. Presently, he is working in the Department of Mathematics (Applied Mathematics Group), National Institute of Technology, Rourkela, Odisha, as a senior (higher administrative grade) professor. Prior to this, he was with CSIR-Central Building Research Institute, Roorkee, India. After completing graduation from St. Columba's College (Ranchi University), his career started from the University of Roorkee (now Indian Institute of Technology, Roorkee) and did M.Sc. (Mathematics) and M.Phil. (Computer Applications) from the said institute securing the first positions in the university. Dr. Chakraverty received his Ph.D. from IIT-Roorkee in 1993. Thereafter, he did his post-doctoral research at the Institute of Sound and Vibration Research (ISVR), University of Southampton, U.K., and at the Faculty of Engineering and Computer Science, Concordia University, Canada. He was also a visiting professor at Concordia and McGill universities, Canada, during 1997-1999 and visiting professor at the University of Johannesburg, Johannesburg, South Africa, during 2011-2014. He has authored/co-authored/edited 31 books, published 430 research papers (till date) in journals and conferences, and two books are ongoing. He is in the editorial boards of various international journals, book series, and conferences. Prof. Chakraverty is the chief editor of International Journal of Fuzzy Computation and Modelling (IJFCM), Inderscience Publisher, Switzerland (http: //www.inderscience.com/ijfcm), associate editor of Computational Methods in Structural Engineering, Frontiers in Built Environment and Curved and Layered Structures (De Gruyter) and happens to be the editorial board member of Springer Nature Applied Sciences, IGI Research Insights Books, Springer Book Series of Modeling and Optimization in Science and Technologies, Coupled Systems Mechanics (Techno Press), Journal of Composites Science (MDPI), Engineering Research Express (IOP), and Applications and Applied Mathematics: An International Journal. He is also the reviewer of around 50 national and international journals of repute and he was the president of the section of mathematical sciences (including Statistics) of Indian Science Congress (2015-2016) and was the vice president - Orissa Mathematical Society (2011-2013). Prof. Chakraverty is a recipient of prestigious awards, viz. Indian National Science Academy (INSA) nomination under International Collaboration/Bilateral Exchange Program (with the Czech Republic), Platinum Jubilee ISCA Lecture Award (2014), CSIR Young Scientist Award (1997), BOYSCAST Fellow. (DST), UCOST Young Scientist Award (2007, 2008), Golden Jubilee Director's (CBRI) Award (2001), INSA International Bilateral Exchange Award ([2010-2011] selected but could not undertake [2015] selected), Roorkee University Gold Medals (1987, 1988) for first positions in M.Sc. and M.Phil. (Computer Application). He is in the list of 2% world scientists (2020 and 2021) in Artificial Intelligence and Image Processing category based on an independent study done by Stanford University scientists. Prof. Chakraverty has received an IOP Publishing Top-Cited Paper Award in 2021 and 2022 from India, published across the entire IOP Publishing journal portfolio in the past three years i.e., 2018-2020 and 2019-2021, respectively, for his paper that ranked among the top 1% of the most-cited papers in the materials subject category. In 2020-2021, one of his papers published in ZAMM - Journal of Applied Mathematics and Mechanic (Wiley) was among the most cited papers. He has already guided 25 Ph.D. students and 12 are ongoing. Prof. Chakraverty has undertaken around 16 research projects as a principal investigator funded by international and national agencies totalling about Rs. 1.5 crores. He has hoisted around eight international students with different international/national fellowships to work in his group as PDF, Ph.D., visiting researchers for different periods. A good number of international and national conferences, workshops, and training programs have also been organized by him. His present research area includes differential equations (ordinary, partial, and fractional), numerical analysis and computational methods, structural dynamics (FGM, nano) and fluid dynamics, mathematical and uncertainty modelling, soft computing and machine intelligence (artificial neural network, fuzzy, interval, and affine computations).

Dr. Subrat Kumar Jena 目前在印度德里印度理工學院應用力學系擔任博士後研究員。他的學術旅程包括在印度班加羅爾印度科學院航空工程系的非線性多功能複合材料分析與設計（NMCAD）實驗室擔任榮譽博士後研究員，並在 Dineshkumar Harursampath 教授的指導下進行研究。Dr. Jena 擁有印度奧迪沙國立技術學院數學系的博士學位，指導教授為 S. Chakraverty 教授。他的研究專長涵蓋計算固體力學、多功能材料、應用數學、數學建模和不確定性量化。Dr. Jena 在印度普拉亞格拉傑的莫蒂拉爾·尼赫魯國立技術學院獲得數學和科學計算的碩士學位。他的研究貢獻廣受認可，發表了 34 篇國際期刊的同行評審研究論文、2 篇國際會議論文、9 篇書章和 4 本書（另外 2 本書正在進行中）。最近，Dr. Jena 因其卓越的研究工作獲得瑞士巴塞爾數學期刊頒發的「2022 年最佳博士論文獎」，該獎項附帶 500 瑞士法郎的獎金和證書，標誌著他學術旅程中的一個重要里程碑。此外，Dr. Jena 在 2021 年和 2022 年獲得了 IOP Publishing 的高引用論文獎，該獎項涵蓋了過去三年（即 2018-2020 和 2019-2021）整個 IOP Publishing 期刊組合，他的論文在材料學科類別中排名前 1% 的高引用論文。在 2020-2021 年，他在 ZAMM - 應用數學與力學期刊（Wiley）發表的一篇論文也屬於高引用論文。此外，他的三篇論文被認定為發表在 Curved and Layered Structures Journal（De Gruyter）中的最佳引用論文。他在殼體屈曲領域的貢獻，特別是在一般結構的靜態或動態分析方面，得到了認可，他被列入殼體屈曲網站的「殼體屈曲專家」名單中。他還多次入選史丹佛大學的前 2% 影響力科學家名單。Dr. Jena 作為多本知名國際期刊的審稿人和客座編輯的卓越表現，體現在他審閱了超過 100 篇手稿。

S. Chakraverty 教授擁有 30 年的研究和教學經驗。目前，他在印度奧迪沙國立技術學院數學系（應用數學組）擔任高級（高級行政級別）教授。在此之前，他曾在印度魯爾基的 CSIR-中央建築研究所工作。畢業於聖科倫巴學院（蘭契大學）後，他的職業生涯始於魯爾基大學（現為印度理工學院魯爾基），並在該學院獲得數學碩士和計算機應用碩士學位，並在大學中獲得第一名。Chakraverty 教授於 1993 年在 IIT-Roorkee 獲得博士學位。此後，他在英國南安普敦大學聲音與振動研究所（ISVR）和加拿大康考迪亞大學工程與計算機科學系進行博士後研究。他還在 1997-1999 年期間擔任康考迪亞大學和麥吉爾大學的客座教授，並在 2011-2014 年期間擔任南非約翰尼斯堡大學的客座教授。他已經撰寫/合著/編輯了 31 本書，並在期刊和會議上發表了 430 篇研究論文（截至目前），另外有兩本書正在進行中。他是多個國際期刊、書籍系列和會議的編輯委員會成員。Chakraverty 教授是《國際模糊計算與建模期刊》（IJFCM）的主編，該期刊由瑞士 Inderscience 出版社出版（http://www.inderscience.com/ijfcm），同時也是《結構工程計算方法》、《建築環境前沿》和《曲面與層狀結構》（De Gruyter）的副編輯，並且是 Springer Nature 應用科學、IGI Research Insights Books、Springer 模型與科學技術優化系列、Coupled Systems Mechanics（Techno Press）、《複合材料科學期刊》（MDPI）、《工程研究快報》（IOP）和《應用數學與應用數學：國際期刊》的編輯委員會成員。他還是約 50 本國內外知名期刊的審稿人，並曾擔任 2015-2016 年印度科學大會數學科學（包括統計學）分會的主席，以及 2011-2013 年奧里薩數學學會的副主席。Chakraverty 教授獲得了多項著名獎項，包括印度國家科學院（INSA）在國際合作/雙邊交流計劃下的提名（與捷克共和國合作）、2014 年的白金禧 ISCA 演講獎、1997 年的 CSIR 年輕科學家獎、BOYSCAST 獎（DST）、2007 年和 2008 年的 UCOST 年輕科學家獎、2001 年的金禧主任獎（CBRI）、INSA 國際雙邊交流獎（[2010-2011] 被選中但未能參加 [2015] 被選中）、魯爾基大學的金獎（1987、1988）以表彰其在數學碩士和計算機應用碩士中的第一名。他在 2020 年和 2021 年的人工智慧和影像處理類別中被列入 2% 世界科學家名單，該名單基於史丹佛大學科學家的獨立研究。Chakraverty 教授在 2021 年和 2022 年獲得了 IOP Publishing 的高引用論文獎，該獎項涵蓋了過去三年（即 2018-2020 和 2019-2021）整個 IOP Publishing 期刊組合，他的論文在材料學科類別中排名前 1% 的高引用論文。在 2020-2021 年，他在 ZAMM - 應用數學與力學期刊（Wiley）發表的一篇論文也屬於高引用論文。他已經指導了 25 名博士生，並且有 12 名正在進行中。Chakraverty 教授作為首席研究員承擔了約 16 項由國際和國內機構資助的研究項目，總金額約為 1.5 億盧比。他還接待了約八名國際學生，這些學生持有不同的國際/國內獎學金，並在他的團隊中擔任 PDF、博士生和訪問研究員，時間長短不一。他還組織了許多國際和國內會議、研討會和培訓計劃。他目前的研究領域包括微分方程（常微分方程、偏微分方程和分數微分方程）、數值分析和計算方法、結構動力學（FGM、納米）和流體動力學、數學和不確定性建模、軟計算和機器智能（人工神經網絡、模糊、區間和仿射計算）。