|

|
IJE TRANSACTIONS C: Aspects Vol. 27, No. 9 (September 2014) 1449-1456
|
Downloaded:
117 |
|
Viewed:
2042 |
|
|
APPLICATION OF MULTI-OBJECTIVE OPTIMIZATION FOR OPTIMIZATION OF HALF-TOROIDAL CONTINUOUSLY VARIABLE TRANSMISSION
|
|
|
M. Delkhosh, M. SaadatFoumani and P. Rostami
|
|
|
( Received:
August 12, 2013
– Accepted: May 22, 2014 )
|
|
|
Abstract
Among different goals defined in vehicle design process, fuel consumption (FC) is one of the most important objectives,
which significantly has taken into account lately, both by the customers and vehicle manufacturers. One of the
significant parameters which impacts the vehicle FC is the efficiency of vehicle's power train. In this paper, a
half-toroidal continuously variable transmission (CVT) is considered as the vehicle power train. Its efficiency is
sensitive to its geometry, and variation of its geometry can result the vehicle FC reduction. On the other hand,
geometry variation affects its weight and fatigue life, which are considered as major contributing factors in the power
train design. This paper aims to optimize half-toroidal CVT in order to minimize its weight, FC of the vehicle equipped
with it, and provide the desired fatigue life. After introducing half-toroidal CVT, the method of calculating the
mentioned objective functions is presented. A specific importance weight for each objective is considered. These weights
are functions of their related objectives. A single objective optimization is implemented for each objective, and their
optimal values are obtained. Then, these objectives are optimized simultaneously using Global Criterion method.
|
|
|
Keywords
Continuously Variable Transmission, Half-Toroidal, Fuel Consumption, Fatigue Life, Multi-objective Optimization,
Importance Weight, Global Criterion
|
|
|
چکیده
در میان اهداف معرفی شده در پروسه طراحی خودرو یکی از
مهمترین معیارها مقدار مصرف سوخت خودرو است، که مدنظر هر دو گروه سازنده خودرو و
مشتری است. یکی از پارامترهای موثر بر مصرف سوخت خودرو، بازده سیستم انتقال قدرت
است. در این مقاله سیستم انتقال قدرت پیوسته (CVT) نصف چنبره، به عنوان سیستم انتقال
قدرت خودرو در نظر گرفته میشود. بازده این مجموعه به هندسه آن وابسته است و تغییر
آن میتواند به کاهش مصرف سوخت خودرو انجامد. از طرفی، تغییر هندسه آن روی وزن و
عمر خستگی آن نیز تاثیر میگذارد. در این مقاله، هدف بهینهسازی CVT نصف چنبره در
جهت کاهش مصرف سوخت خودرو، کاهش وزن آن و تامین مطلوبات سازنده در زمینه عمر خستگی
آن است. پس از معرفی CVT نصف چنبره، روش محاسبه توابع هدف بیان شده ارائه میشود. برای هر
کدام از این توابع یک ضریب وزنی تعریف میشود که مقدار آن به مقدار تابع هدف بستگی
دارد. هرکدام از توابع هدف به تنهایی بهینه میشوند و مقادیر بهینه آنها بدست میآید.
در نهایت، این توابع هدف به صورت همزمان به کمک روش Global
Criterion بهینهیابی میشوند.
|
|
References
1. Ebrahimi, R. and Mercier, M.,
"Experimental study of performance of spark ignition engine with gasoline
and natural gas", International Journal of Engineering, Vol. 24, (2010), 65-74.
2. Yousufuddin,
S. and Mehdi, S.N., "Effect of ignition timing, equivalence ratio, and
compression ratio on the performance and emission characteristics of a variable
compression ratio si engine using ethanol unleaded gasoline blends", International
Journal of Engineering Transactions B: Applications, Vol. 21, No. 1, (2008), 97-106.
3. Delkhosh,
M. and Foumani, M.S., "Optimisation of full-toroidal continuously variable
transmission in conjunction with fixed ratio mechanism using particle swarm
optimisation", Vehicle System Dynamics,
Vol. 51, No. 5, (2013), 671-683.
4. Delkhosh,
M., Foumani, M.S. and Boroushaki, M., "Geometrical optimization of
parallel infinitely variable transmission to decrease vehicle fuel
consumption", Mechanics Based Design of Structures and Machines, Vol. 42, No. 4, (2014), 483-501.
5. He,
H., Li, H., Qin, D. and He, P., "Optimization design for structural
parameters of toroidal cvt for automobiles", Journal of Mechanical Engineering, Vol. 5, (2009), 47-60.
6. Akbarzadeh,
S. and Zohoor, H., Sensitivity analysis
of torque transmission efficiency of a half-toroidal CVT., SAE Technical
Paper. (2006)
7. Delkhosh,
M., Foumani, M.S., Boroushaki, M., Ekhtiari, M. and Dehghani, M.,
"Geometrical optimization of half toroidal continuously variable
transmission using particle swarm optimization", Scientia Iranica, Vol. 18, No. 5, (2011), 1126-1132.
8. Delkhosh,
M. and Foumani, M.S., "Multi-objective geometrical optimization of full
toroidal CVT", International Journal of Automotive Technology, Vol. 14, No. 5, (2013), 707-715.
9. Delkhosh,
M. and Foumani, M.S., "Modelling and optimization of toroidal continuously
variable transmission in ece driving cycle", International Journal of
Engineering, Vol. 26, No. 12,
(2013), 1535-1542.
10. Carbone, G., Mangialardi, L. and Mantriota,
G., "A comparison of the performances of full and half toroidal traction
drives", Mechanism and Machine Theory,
Vol. 39, No. 9, (2004), 921-942.
11. Attia, N.A., Datong, Q., Wankai, S. and
Huaying, L., "A parametric study on the contact stress of half toroidal
continuously variable transmission", Journal of Chongqing University, Vol. 2, No. 2, (2003).
12. Budynas R.
and Nisbett K., "Shigley’s mechanical engineering design, 9th
edition", McGraw-Hill Science/Engineering/Math, ., (2010).
13. Machida, M. and Murakami, Y.,
"Development of the half toroidal cvt powertors unit", NSK
Tech. J, Vol. 9, No. 669,
(2000), 15-26.
14. Dutta-Roy, T. and Zhang, N., "Effect of
a half-toroidal continuously variable unit on the dynamics of a complete
powertrain: A parametric free vibration analysis", Proceedings of the Institution of
Mechanical Engineers, Part D: Journal of Automobile Engineering, Vol. 218, No. 5, (2004), 471-484.
15. De Weck, O.L., "Multiobjective
optimization: History and promise", in Invited Keynote Paper, GL2-2, The
Third China-Japan-Korea Joint Symposium on Optimization of Structural and
Mechanical Systems, Kanazawa, Japan. Vol. 2, (2004).
16. deWeck O.L.
and Kim I.Y., "Multiobjective optimization via the adaptive
weighted sum method", 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization
Conference, Albany, New York,, (2004).
17. Statnikov, R.B. and Matusov, J.B.,
"Multicriteria optimization and engineering, Chapman and Hall, (1995).
18. Marler, R.T. and Arora, J.S., "Survey of
multi-objective optimization methods for engineering", Structural
and Multidisciplinary Optimization,
Vol. 26, No. 6, (2004), 369-395.
19. Das, I. and Dennis, J.E., "A closer look
at drawbacks of minimizing weighted sums of objectives for pareto set
generation in multicriteria optimization problems", Structural Optimization, Vol. 14, No. 1, (1997), 63-69.
20. Rao, S.S. and Rao, S., "Engineering
optimization: Theory and practice", John Wiley & Sons, (2009).
21. Yu, P.-L., "A class of solutions for
group decision problems", Management Science, Vol. 19, No. 8, (1973), 936-946.
22. Wu, J., Zhang, C.-H. and Cui, N.-X.,
"Pso algorithm-based parameter optimization for hev powertrain and its
control strategy", International Journal of Automotive
Technology, Vol. 9, No. 1,
(2008), 53-59.
23. Yeniay, O., "Penalty function methods
for constrained optimization with genetic algorithms", Mathematical
and Computational Applications,
Vol. 10, No. 1, (2005), 45-56.
|
|
|
|
|