Abstract:even and odd functions g(z) = •(z) sin(w•z)dz, 0(z)= •(z) cos(w•z)&, finding in due course that j•= {O(x)-O(x) cos2w•x-g(x) sin2w•x}dx.1 -•. (10) Integration by parts leads to the simple and well-behaved result j,,•= •(x)•_ (l-x) cosw•x-w• -1 sinw•x•dx'l -•. (11) Presumably, there are corresponding expressions for oth r mode shapes.When • falls to a small enough value in a distance small as compared to the structural wavelength 2•-/w,•,
•-----fo C(x)ax'•-•=«L/•' 02)where L is the correlation length in the appr… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.