7 Muscle Property Identification During Joint Motion Using the NL-LTP Method 83 Table 7.1 Fourier expansion coefficients used to define the Fourier expansion of the mode identified with the NL-LTP method Kept Fourier term, m Fourier coefficient (magnitude) Complex coefficient (complex valued) 7 9.78E 07 4:8979e 09C1:4474e 08i 6 2.29E 06 3:4225e 08C1:0340e 08i 5 1.28E 05 8:2993e 08C1:8120e 07i 4 1.18E 04 1:6378e 06C8:3869e 07i 3 1.52E 03 1:0256e 05C2:1471e 05i 2 6.36E 04 9:1710e 06C3:8285e 06i 1 1.35E 04 8:2563e 07C1:9453e 06i 0 3.69E 06 5:4632e 08C1:8471e 08i 1 3.32E 06 1:9343e 08C4:8142e 08i References 1. Sracic M, Allen M (2014) Identifying parameters of multi-degree-of-freedom nonlinear structural dynamic systems using linear time periodic approximations. Mech Syst Signal Process 46(2):325–343 2. Sracic M, Allen M (2011) Method for identifying models of nonlinear systems using linear time periodic approximations. Mech Syst Signal Process 25(7):2705–2721 3. Erdemir A, McLean S, Herzog W, van den Bogert A (2007) Model-based estimation of muscle forces exerted during movements. Clin Biomech 22:131–154 4. Potluri C, Anugolu M, Schoen P, Naidu DS, Urfer A, Chiu S (2014) Hybrid fusion of linear, non-linear and spectral models for the dynamic modeling of sEMG and skeletal muscle force: an application to upper extremity amputation. Comput Biol Med 43:1815–1826 5. Eriten M, Dankowicz H (2007) A rigorous dynamical-systems-based analysis of the self-stabilizing influence of muscles. In: Proceedings of the ASME 2007 international design engineering technical conferences & computers and information in engineering conference IDETC/CIE, DETC2007-34469, Las Vegas, Nevada, pp 1–11 6. Dingwell J, Cusumano J, Cavanagh P, Sternad D (2001) Local dynamic stability versus kinematic variability of continuous overground and treadmill walking. J Biomech Eng 123:27–32 7. Dingwell J, Kang HG (2007) Differences between local and orbital dynamic stability during human walking. Trans ASME 129:586–593 8. Hurmuzlu Y, Basdogan C (1994) On the measurement of dynamic stability of human locomotion. J Biomech Eng 116:30–36 9. Dingwell J, Cusumano J (2000) Nonlinear time series analysis of normal and pathological human walking. Chaos 10(4):848–863 10. Hurmuzlu Y, Basdogan C, Stoianovici D (1996) Kinematic and dynamic stability of the locomotion of post-polio patients. J Biomech Eng 118:405–411 11. Huxley A (1957) Muscle structure and theories of contraction. Prog Biophys Biophys Chem 7:255–318 12. Zajac F (1989) Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. IEEE Crit Rev Biomed Eng 17(4):359–410 13. Delp S, Loan JP, Hoy M, Zajac F, Topp E, Rosen J (1990) An interactive graphics-based model of the lower extremity to study orthopaedic surgical procedures. IEEE Trans Biomed Eng 37(8):757–767 14. Thelen D, Anderson F (2006) Using computed muscle control to generate forward dynamic simulations of human walking from experimental data. J Biomech 39:1107–1115 15. Thelen D, Chumanov E, Best T, Swanson S, Heiderscheit B (2005) Simulation of biceps femoris musculotendon mechanics during the swing phase of sprinting. Off J Am Coll Sports Med 37(11):1931–1938 16. Siebert T, Rode C, Herzog W, Till O, Blickhan R (2005) Nonlinearities make a difference: comparison of two common Hill-type models with real muscle. Biol Cybern 98(11):133–143 17. Thelen D (2003) Adjustment of muscle mechanics model parameters to simulate dynamic contractions in older adults. Trans ASME 125:70–77 18. Sracic M, Allen M (2001) Numerical continuation of periodic orbits for harmonically forced nonlinear systems. Presented at the 29th international modal analysis conference (IMAC XXIX), Jacksonville
RkJQdWJsaXNoZXIy MTMzNzEzMQ==