By Miklos Hetenyi
A entire mathematical research of the elastically supported beam
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Extra resources for Beams on Elastic Foundation: Theory with Applications in the Fields of Civil and Mechanical Engineering
5). 3) can be substituted into Eq. 4 to give Eq. 6. Pi ¼ Pm þ Zc Á Qr ð3:6Þ Conversely, substituting Eq. 3) gives Eq. 8. Pi ¼ Zc ðQm À Qr Þ ð3:7Þ 3 Age-Related Changes in the Mechanical Properties of Large Arteries Zc Á Qr ¼ Zc Á Qm À Pi 47 ð3:8Þ Combining Eqs. 6, the incident pressure wave can be expressed in terms of the measured pressure wave and the characteristic impedance (Eq. 9). By repeating the method for reflected pressure, and incident and reflected flow, all incident and reflected waves can be expressed in terms of the characteristic impedance of the vessel, and the measured flow and pressure at that point (Eqs.
The chapter concentrates on the systemic vasculature, although concepts apply similarly to the pulmonary vasculature. The developmental and childhood phases of large artery changes are also not addressed here. The chapter is divided into three parts to introduce and describe the age-related changes in mechanical properties of large arteries. First, there is a brief discussion of the structural and functional components of the vascular wall that give, and dynamically alter, the mechanical strength of arteries.
Maroudas AI (1976) Balance between swelling pressure and collagen tension in normal and degenerate cartilage. Nature 260:808–809 66. Mayer JE, Iatridis JC, Chan D, Qureshi SA, Gottesman O, Hecht AC (2013) Genetic polymorphisms associated with intervertebral disc degeneration. Spine J 13:299–317 67. McMillan DW, Garbutt G, Adams MA (1996) Effect of sustained loading on the water content of intervertebral discs: implications for disc metabolism. Ann Rheum Dis 55:880–887 68. McMillan DW, McNally DS, Garbutt G, Adams MA (1996) Stress distributions inside intervertebral discs: the validity of experimental “stress proﬁlometry’.
Beams on Elastic Foundation: Theory with Applications in the Fields of Civil and Mechanical Engineering by Miklos Hetenyi