The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. ABSTRACT This paper investigates the dynamics of the SMART rotor, and presents a method to design a gain-scheduled controller to reduce the harmonic vibration throughout the flight envelope. The dynamics of the SMART rotor was examined at various flight conditions through nonli...

‎In this paper‎, ‎we study the convex combinations of harmonic mappings obtained by shearing a class of slit conformal mappings‎. ‎Sufficient conditions for the convex combinations of harmonic mappings of this family to be univalent and convex in the horizontal direction are derived‎. ‎Several examples of univalent harmonic mappings constructed by using these methods are presented to illustrate...

Three-dimensional serial reconstruction techniques allow us to develop very detailed microfinite element (micro-FE) model of bones that can very accurately represent the porous bone micro-architecture. However, such models are of very high dimension and, at present, simulation is limited to a linear elastic analysis only. In the present paper, we suggest to use model reduction in order to enabl...

Abstract Young’s modulus of New Red Sandstone was investigated experimentally to gain insight into its nonlinear nature. A large experimental programme carried out by applying a controllable quasi-static and dynamic uniaxial loading 286 dry sandstone samples four different sizes. The static tests, similar those aiming at determining the compressive strength, were conducted using state-of-the-ar...

we study the notion of harmonicity in the sense of symplectic geometry, and investigate the geometric properties of harmonic thom forms and distributional thom currents, dual to different types of submanifolds. we show that the harmonic thom form associated to a symplectic submanifold is nowhere vanishing. we also construct symplectic smoothing operators which preserve the harmonicity of distri...

[Purpose] Low back pain is a pervasive problem in modern societies. Physical rehabilitation in treatment of low back pain should reduce pain, muscle tension and restore spine stability and balance. The INFINITY® rehabilitation method that is based on a figure of eight movement pattern was proved to be effective in low back pain treatment. The aim of the paper is to estimate the effect of a figu...

Abstract The paper is devoted to the problem of fatigue failure two-phase titanium alloy VT3-1 under action high-frequency cyclic loading. Samples for tests were made from compressor disk aviation engine D30-Ku installed on Tupolev Tu-154 planes. Repeated alternating loading was carried out by displacements small amplitude at 20 kHz, coinciding with first harmonic longitudinal elastic vibration...