( ) (1) n xnwhere f is known as the logarithmic decrement. The damping ratio can be obtained by using thefollowing equation3: f / 2r |= (2) 1 - (f / 2r) 2 The equation of motion of a structural system in modal coordinates can be written asfollows: q n + 2| n yn q% n + y2n q n = 0 %% (3)where yn and | n are natural frequency and damping ratio of the nth mode, respectively; qn,q% n and %q%n represent modal displacement, velocity and acceleration, respectively
from the higher to the lower points(Figure 1) in the least time.1 Figure 1. A curve along which a particle is falling under the action of gravity The time required to travel from point P1 to point P2 is given by1, 2 Page 13.1093.3Where v is the particle’s velocity and ds is the arc length through which it is falling. Applyingthe law of conservation of energy we can write for the particleOrSubstituting this for v in the integrand of the first equation and following the steps given inReferences 1 and 2, we can show that 2 x = ½ k (q – sinq), 2 y = ½ k (q – cosq
, 40, 290-296.4. Zhang, Q., Wang, K., Men, Y., Fu, Q., Dispersion and Tensile Behavior of Polypropylene/Montmorillonite Nanocomposites Produced via Melt Intercalation, Chinese Journal of Polymer Science, 2003, 21 (3), 359-367.5. Hull D., Clyne, T.W., An Introduction to Composite Materials, 2nd Edition, 1996, Cambridge University Press, UK, page 1.6. Agwarwal, B.D., Broutman, L.J., Analysis and Performance of Fiber Composites, 2nd Edition, 1990, John Wiley and Sons, Inc, New York, USA, page 2.7. Dasari, A., Lim, S-H., Yu, Z-Z., Mai, Y-M., Toughening, Thermal Stability, Flame Retardancy, and Scratch- Wear Resistance of Polymer-Clay Nanocomposites, Australian Journal of Chemistry, 2007, 60(7), 496-518.8. Winey, K.I., Vaia, R.A
+ (r ) i −1 T ij ∆rij ij l iji −1The collection of the lengths of six cylinders gives a matrix equation, ∆l ij = B∆q (16) riji - 1 T I riji -1 ~ T r0 ∆s where B is a 1 × 6 matrix whose row is equal to i -1 − i-1 and
1st Q uartile -290.50 M edian -44.15 3rd Q uartile 193.50 -800 -400 0 400 800 M aximum 1060.00 95% C onfidence Interv al for M ean -78.18 -35.90
Page 13.199.9Sources, Volume (83), 128-133, 1999.[5] T. H. Yang, Y. G. Yoon, C. S, Kim, S. H. Kwak, and K. H. Yoon, “A novel preparationmethod of a self-humidifying polymer electrolyte membrane,” Journal of Power Sources,Volume (106), pp. 328-332, 2002.[6] D. Staschewski, and Z. Q. Mao, “Hydrogen-air PEMFC operation with extraordinarily lowgas pressure and internal humidification-conception and experimental prototype stack,”International Journal of Hydrogen Energy, Volume (24), 543-548, 1999.[7] D. Picot R. Metkemeljer, JJ. Bezian and L. Rouveyre, “Impact of the water symmetry factoron humidification and cooling strategies for PEM fuel cell stacks,” Journal of Power Sources,Volume (75), 251-260, 1998[8] P. Sridhar, R. Perumal, N. Rajalakshmi
e M a t h c a d Q u a d E q S w i m m e r P r o b l e m T i m
Q u J u l 0 7 J a 0 8 C h a
their own filter for this analysis. Students will thensee a lot of variance in results among the class depending on how stringent the original filterrequirements are. That is, low pass filters with fairly wide transition bands will not requirenearly as many bits for good performance as high Q-factor band-pass filters will.Following simulation, students implement the IIR filters for a couple of choices of bits (good andrqqt+"qp"Vgzcu"KpuvtwogpvuÓ"VOU542E8933"FUMu to verify the simulation results Page 13.872.5experimentally. Figure 4: IIR Filter Performance for Biquad RealizationImage Processing Using Digital FiltersStudents
Student O 98 83.0 7.0 5.0 12.0 8.0 16.0 10.0 25.0 Student P 95 81.0 8.0 5.0 12.0 8.0 16.0 10.0 22.0 Student Q 0 0.0 Student R 51 43.0 7.0 4.0 7.0 0.0 4.0 4.0 17.0 Student S 80 68.0
Systems Research, and School of Interdisciplinary Studies andExtended Education. The authors appreciate the valuable research assistance of Jennifer Hayesand Dustin Chaffin. The authors are also grateful for the helpful comments of four anonymousreviewers.References1 http://www.distancelearningnet.com/reports/11/12 http://www.tntech.edu/classsched/07s/webcourse.html3 Hollenbeck, C. R., Zinkhan, G. M., & French, W. (2005, Summer). Distance learning trends and benchmarks: Lessons from an online MBA program. Marketing Education Review, 15(2), 39-52.4 Minh Q., H., Umesh, U. N., & Valacich, J. S. (2003). E-Learning as an emerging entrepreneurial enterprise in universities and firms. Communications of the Association for
are used to tally up the quantity of inventory used by each group andthe costs involved. The data is entered into an Excel spreadsheet as shown in Figure 5. Grp # 1 2 3 4Init. Invest. $5,600 $8,840 $7,040 $10,640 Add. Mat. $650.00 $300.00 $2,000.00 $1,500.00Total Cost $6,250 $9,140 $9,040 $12,140A. Rating $3.00 $2.00 $2.00 $2.00 A. Value 126 36 115 117Q. Rating 16 18 16 12Height (in) 42 18 57.5 58.5 Q. Value $672 $324 $920 $702 TAV $33,516 $6,480 $59,512 $47,911 Profit $27,266 $2,660 $50,472 $35,771Figure 5