The name is absent



124


Solve the characteristic equation s2 + 2as + ωθ

Rj

LCRm


1 R1

O' — -———— -f∙ ---

2CRm 2L

-2a ± ʌ/4cv2 - 4ω2

^ 1

3~~2CRm


ʌʃɪ
2L V v 2CRm


-^1)2 _ /_!_ +

2L} yLC LCRm


Now sɪ and S2 are defined, along with ω0 the resonant frequency (in radians∕sec) and a the
damping factor

We look for a solution of the form υ(t) = K1es1t + K2es2t + K3

We need to solve for K1, K2 and K3 from the final and initial conditions

K1e~o° + K2e °° + K3 = is(R1∖∖Rm)

■ ⅛[K1e∙>< + ¾e∙=< + ¾] = ⅛ho = ≈√Cm

Kie0 + K2e0 + K3 = υ(0) = 0

K3 - ⅞ ( .Ri I ,Rto ) - is β11+

■ s1K1 + s2K2 = ^^ = isCm

K1+ K2 = -K3

Now the system is fully defined



More intriguing information

1. Strategic Investment and Market Integration
2. The name is absent
3. Visual Artists Between Cultural Demand and Economic Subsistence. Empirical Findings From Berlin.
4. Individual tradable permit market and traffic congestion: An experimental study
5. Wage mobility, Job mobility and Spatial mobility in the Portuguese economy
6. Investment and Interest Rate Policy in the Open Economy
7. The name is absent
8. The name is absent
9. Migration and Technological Change in Rural Households: Complements or Substitutes?
10. Revisiting The Bell Curve Debate Regarding the Effects of Cognitive Ability on Wages
11. Growth and Technological Leadership in US Industries: A Spatial Econometric Analysis at the State Level, 1963-1997
12. AN EXPLORATION OF THE NEED FOR AND COST OF SELECTED TRADE FACILITATION MEASURES IN ASIA AND THE PACIFIC IN THE CONTEXT OF THE WTO NEGOTIATIONS
13. The Impact of Individual Investment Behavior for Retirement Welfare: Evidence from the United States and Germany
14. On the Desirability of Taxing Charitable Contributions
15. Creating a 2000 IES-LFS Database in Stata
16. CAPACITAÇÃO GERENCIAL DE AGRICULTORES FAMILIARES: UMA PROPOSTA METODOLÓGICA DE EXTENSÃO RURAL
17. The name is absent
18. The economic value of food labels: A lab experiment on safer infant milk formula
19. Transgression et Contestation Dans Ie conte diderotien. Pierre Hartmann Strasbourg
20. The name is absent