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⊙第11篇⊙

功率鍵合圖法在血液循環系統計算機仿真中的應用
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注意:本論文已在《生物醫學工程學》雜志1999第1期發表
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馮宇軍     田樹軍
(大連理工大學 機械系,遼寧 大連   116024

 摘要:根據生物流體系統同工程流體系統所具有的相似性,將功率鍵合圖建模方法應用于人體血液循環系統的計算機仿真當中,對一個簡化的人體血液循環系統模型進行了仿真研究,所得仿真數據同基本的生理規律符合較好。為生理醫學仿真提供了一種易于理解和統一的建模方法。
關鍵詞:功率鍵合圖法 計算機仿真 血液循環系統

Use of power band graph method in the computer simulation of blood circulation system

FENG Yu-junTIAN Shu-jun

 ( Dep. of Mech. Eng.Dalian Univ. of Technol.Dalian 116024P.R.China)

Abstract The power band graph (PBG) method is a convenient system dynamic modeling method, which is used successfully in fluid system dynamic character simulation. As there are many similarities to a great extent between biological fluid system and engineering fluid system, according to fluid dynamic theory, this paper use the PBG approach in the computer simulation of human blood circulation systemand complete a modeling and simulation study on a simplified human blood circulation system model. The results of the simulation are in good agreement with the basic physiological law. The study provides a simple and unitary simulation modeling method for physiologic medical simulation.
Key words: Power Band Graph Method , Computer Simulation  , Blood Circulation System


⊙第12篇⊙

功率鍵合圖方法在多分支血液循環系統建模和仿真中的應用研究
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 注意:本論文已在《生物醫學工程學》雜志,2000第6期,181頁發表
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馮宇軍1 田樹軍2 林海龍3

1. 大連理工大學 管理學院,遼寧 大連 116024

2. 大連理工大學 機械系,遼寧 大連 116024

3. 大連市中心醫院,遼寧 大連 116033

 

摘要:應用功率鍵合圖方法,建立了一種多分支血液循環系統的計算機仿真模型,即描述血液循環系統內血流動力學變量變化規律的狀態方程。該仿真模型較為細致地刻畫了血液循環系統的生理特性,形成了較完整的人體血液循環系統的計算機模型,此模型可模擬血液循環系統的生理和病理特性,得出相應的心血管動力學仿真數據和波形,為進行血液循環系統生理和病理的醫學研究提供了新的研究手段。
關鍵詞:血液循環系統 計算機仿真 功率鍵合圖法
分類號:
TH 1371

Study of Modeling and Simulation of the Multi-branch Blood System

FENG Yu-jun1 , TIAN Shu-jun2 , LIN Hai-long3

                    1. School of Manage., Dalian Univ. of Technol., Dalian 116024, P. R. China;
                   2. Dep. of Mech. Eng., Dalian Univ. of Technol. Dalian 116024, P. R. China;
                   3. Dalian Cent. Hosp., Dalian 116033, P. R. China 

Abstract : By the Power Band Graph (PBG) method, a computer simulation model of the multi-branch blood circulation system is presented, which describes the blood fluid dynamic law in the blood system by the state equation. a minute description is gived by the modelon physiological characters of blood circulation system (BCS). An integrated computer model on BCS has been established. The model can simulate physiological characters of blood circulation system, and get the simulation data and curves of BCS hemodynamics varibles.  the model can be used widely in the field of physiological system simulation study, the medical study and medical aid education.
Key words
: Blood Circulation System ,  Computer Simulation  , Power Band Graph Method


⊙第13篇⊙

面向快速原型制造的逆求技術
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注意:本論文已在《機械制造》雜志(2000,38(428):11-13)發表
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孫玉文
大連理工大學
機械系,遼寧 大連116024)   

 

   逆求技術是一種應用非常廣泛的新興技術,在快速原型制造中具有重要作用。本文介紹了面向快速原型制造的逆求工程系統的結構體系、測量方法以及相應的數據處理手段,并指出了存在的問題和今后的發展方向。
關鍵詞
 逆求工程  快速原型制造 測量 數據處理

Reverse Engineering RPM-oriented

 Sun Yuwen
Dalian University of  Technology  Dalian , P. R. China(116024)   

AbstractReverse engineeringa newly developed and widely used techniquehas important application in rapid prototyping manufacturingThis paper discusses chiefly its structure systemmeasure methods and data processing techniquesAlsoin this paperpractical problems and future development trends of reverse engineering are mentioned
Key words
reverse engineering  RPM  measure  data processing

 


⊙第14篇⊙

The zero curvature representation for hierarchies of nonlinear evolution equations
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注意:本論文已在《Physics Letters A》雜志2000年第274期135-142頁發表
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(SCI收錄本文)

范恩貴
(復旦大學 數學研究所,上海   200433

摘要:直接由譜問題出發并利用泛函梯度,我們給出非線性方程族零曲率表示的一種簡單方法。

The zero curvature representation for hierarchies of nonlinear evolution equations

Engui Fan
 Physics Letters A 274 2000 135–142

Institute of Mathematics, Fudan Uniíersity, Shanghai 200433, PR China

Received 13 July 2000; received in revised form 1 August 2000; accepted 16 August 2000

Communicated by A.R. Bishop

Abstract:. Directly starting from the spectral problem c s U u, l cand with help of functional gradient, a simple method is x proposed for constructing zero curvature representation of the hierarchies of nonlinear evolution equations. q2000 Elsevier Science B.V. All rights reserved.
Keywords:
Nonlinear evolution equation; Zero curvature representation; Lenard operator pairs


⊙第15篇⊙

Two new applications of the homogeneous balance method
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注意:本論文已在《Physics Letters A》雜志2000年第277期212-218頁發表
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(SCI收錄本文)
范恩貴
(復旦大學 數學研究所,上海   200433

摘要:我們給出齊次平衡法兩個新的應用,尋找非線性方程的Backlund變換和相似解,其結果與CK方法、WTC方法的結果一致。

Two new applications of the homogeneous balance method

Engui Fan )
 Physics Letters A 265 2000 353–357

Institute of Mathematics, Fudan Uniíersity, Shanghai 200433, China

Received 13 July 1999; received in revised form 3 December 1999; accepted 22 December 1999

Communicated by A.R. Bishop

Abstract:The homogeneous balance method is extended to search for Backlund transformation and similarity reduction of ¨nonlinear partial differential equations. It is shown that there exist close connections among the homogeneous balance method, WTC method and CK direct reduction method. The variant Boussinesq equations are discussed as an illustrative example. Their Backlund transformation, linearization transformation and three types of similarity reductions are obtained. ¨In the meantime, some new travelling wave solutions also are found. q2000 Published by Elsevier Science B.V. All rights reserved.
Keywords: Homogeneous balance method; Backlund transformation; Similarity reduction; Travelling wave solution¨


⊙第16篇⊙

Extended tanh-function method and its applications to nonlinear equations
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注意:本論文已在《Physics Letters A》雜志2000年第277期212-218頁發表
使用者請注明論文出處

(SCI收錄本文)

范恩貴
(復旦大學 數學研究所,上海   200433

 摘要:我們給出一種廣義Tanh函數法,可用于得到非線性方程多種行波解,有趣的是其中一個參數的符號可用于判斷行波解的形狀和數量。
關鍵詞

Extended tanh-function method and its applications to nonlinear equations

Engui Fan
Physics Letters A 277 (2000) 212–218

Institute of Mathematics, Fudan University, Shanghai 200433, PR China

Received 26 July 2000; received in revised form 25 October 2000; accepted 25 October 2000

Communicated by C.R. Doering

Abstract:An extended tanh-function method is proposed for constructing multiple travelling wave solutions of nonlinear partial differential equations (PDEs) in a unified way. The key idea of this method is to take full advantages of a Riccati equation involving a parameter and use its solutions to replace the tanh function in the tanh-function method. It is quite interesting that the sign of the parameter can be used to exactly judge the numbers and types of these travelling wave solutions. In addition, by introducing appropriate transformations, it is shown that the extended tanh-function method still is applicable to nonlinear PDEs whose balancing numbers may be any nonzero real numbers. Some illustrative equations are investigated by this means and new travelling wave solutions are found. 
Keywords:
Nonlinear partial differential equation; Travelling wave solution; Riccati equation; Symbolic computation


⊙第17篇⊙

Soliton solutions for a generalized Hirota–Satsuma coupled KdV equation and a coupled MKdV equation
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 注意:本論文已在《Physics Letters A》雜志,2001年第282期,18-22頁發表
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(SCI收錄本文)

范恩貴
(復旦大學 數學研究所,上海   200433

摘要:利用廣義Tanh方法,我們分別給出了廣義耦合HS方程和耦合MKV方程四種孤子解。
關鍵詞:

Soliton solutions for a generalized Hirota–Satsuma coupled KdV equation and a coupled MKdV equation

Engui Fan
Physics Letters A 282 (2001) 18–22

Institute of Mathematics, Fudan University, Shanghai 200433, PR China

Received 20 November 2000; received in revised form 22 February 2001; accepted 23 February 2001

Communicated by A.R. Bishop

Abstract:We make use of an extended tanh-function method and symbolic computation to obtain respectively four kinds of soliton solutions for a new generalized Hirota–Satsuma coupled KdV equation and a new coupled MKdV equation, which were introduced recently by Wu et al. 
Keywords:
Coupled MKdV equation; Soliton solution; Riccati equation; Symbolic computation


⊙第18篇⊙

Gerjikov-Ivanov 方程的Darboux變換和孤子解
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注意:本論文已在《JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL》雜志2000年第33期6925–6933頁發表
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(SCI收錄本文)

范恩貴
(復旦大學 數學研究所,上海   200433

 摘要:利用譜問題的規范變換和約化技巧,構造了Gerjikov-Ivanov 方程的NDarboux變換,由此,得到了Gerjikov-Ivanov 方程的單孤子解和雙孤子解。
關鍵詞
Gerjikov-Ivanov 方程,Darboux變換,孤子解

Darboux transformation and soliton-like solutions for the Gerdjikov–Ivanov equation

Engui Fan
JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL. 33 (2000) 6925–6933.

Institute of Mathematics, Fudan University, Shanghai 200433, PR China

Received 27 April 2000

Abstract. An explicit N -fold Darboux transformation with multiparameters for a kind of coupled derivative nonlinear Schr¨ odinger equation is constructed with the help of a gauge transformation of a spectral problem. As a reduction, a Darboux transformation of the Gerdjikov–Ivanov equation is obtained. Furthermore, the explicit soliton-like solutions of the Gerdjikov–Ivanov equation are given by applying its Darboux transformation.


⊙第19篇⊙

導數Schrodinger型方程族及其多Hamilton結構
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注意:本論文已在《JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL》雜志2001年第34期513-519頁發表
使用者請注明論文出處

(SCI收錄本文)

范恩貴
(復旦大學 數學研究所,上海   200433

 摘要:本文提出一個譜問題并由此導出一導數Schrodinger型方程族,證明了該方程族在Liouville意義下可積并擁有多Hamilton結構,發現幾類著名的方程,如KNCLLGISTO 方程等,均可做為特殊的約化包含在該方程族中,特別得到了KNCLLGI方程Lax對、Hamilton結構的統一、顯式公式。
關鍵詞
:方程族,Hamilton結構,Liouville可積

Integrable systems of derivative nonlinear Schr¨ odinger type and their multi-Hamiltonian structure

Engui Fan
JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL. 34(2001), 513-519

Institute of Mathematics, Fudan University, Shanghai 200433, PR China

Received 1 September 2000, in final form 6 December 2000

Abstract:A spectral problem and the associated hierarchy of Schr¨ odinger type equations are proposed. It is shown that the hierarchy is integrable in Liouville’s sense and possesses multi-Hamiltonian structure. It is found that several kinds of important equation such as the Kaup–Newell (KN) equation, the Chen–Lee–Liu (CLL) equation, the Gerdjikov–Ivanov (GI) equation, the modified Korteweg–de Vries equation and the Sharma–Tasso–Olever equation are members in the hierarchy as its special reductions. Moreover, KN, CLL and GI equations are described by using a unified generalized derivative Schr¨ odinger equation involving a parameter, and their Hamiltonian structure and Lax pairs are also given by unified and explicit formulae.


⊙第20篇⊙

縱彎式壓電微電機研究
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注意:本論文已在《中國機械工程》雜志(2001,12(6):704-706)發表
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邵培革      王立鼎
(大連理工大學機械系,大連,116024)

摘要分析了縱彎式壓電微電機的驅動機理,提出了電機驅動臂的設計方法。研制了直徑為5mm的縱彎式壓電微電機并進行了實驗研究。
關鍵詞 縱彎式;壓電微電機; 驅動機理;設計規則

Research on Micro Piezoelectric Motor Driven by Longitudinal- Transverse Vibration Cantilevers

Shao Peige  Wang Liding
(Dalian Uni. of Technology Mechanical Engineering, Dalian, China, 116024)

Abstract: The driving mechanism of a micro motor is analyzed and the design method of driving is presented. A f5mm of piezoelectric micro motor driven by longitudinal-transverse vibration cantilevers is developed and experimental researches are carried out on it.
Key Words: longitudinal- transverse vibration piezoelectric motor, Driving Mechanism, Design role


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