A direction-length framework is a pair (G, p), where G = (V ;D,L) is a ‘mixed’ graph whose edges are labeled as ‘direction’ or ‘length’ edges, and p is a map from V to R for some d. The label of an edge uv represents a direction or length constraint between p(u) and p(v). Let G be obtained from G by adding, for each length edge e of G, a direction edge with the same end vertices as e. We show t...

The cross-section and the structural twist angle of a typical wind turbine blade vary along its span. This complicates realistic modeling in nonlinear dynamic analysis turbines when seismic performance estimates are sought. As result, lumped mass approach is most commonly used to model rotor-nacelle-assembly (RNA). RNA eccentric tower top, blades tend induce rotary inertia on tower. exclusion t...

An ideal I on a cardinal κ is called rigid if all automorphisms of P (κ)/I are trivial. An ideal is called μ-minimal if whenever G ⊆ P (κ)/I is generic and X ∈ P (μ)V [G] \ V , it follows that V [X] = V [G]. We prove that the existence of a rigid saturated μ-minimal ideal on μ+, where μ is a regular cardinal, is consistent relative to the existence of large cardinals. The existence of such an i...

The detection of broken rotor bars in three-phase squirrel cage induction motors by means of current signature analysis is presented. In order to diagnose faults, a Neural Network approach is used. At first the data of different rotor faults are achieved. The effects of different rotor faults on current spectrum, in comparison with other fault conditions, are investigated via calculating Power ...

A nano coaxial rotor was designed, fabricated and studied experimentally at an ultralow Reynolds number ranging from 5000 to 20,000. The Minimum Induced Loss theory was employed to optimize the geometry of nano coaxial rotor with the introduction of weights to take into account the interference of upper rotor and lower rotor. The chord and twist distributions of both rotors were achieved as a r...

This work deals with effects of asymmetric stiffness on the dynamic behaviour of the rotor system. The analysis is presented through an extended Lagrangian Hamiltonian mechanics on the asymmetric rotor system, where symmetries are broken in terms of the rotor stiffness. The complete dynamics of asymmetries of rotor system is investigated with a case study. In this work, a mathematical model is ...

Rotating machinery, including machining spindles, industrial turbomachinery, and aircraft gas turbine engines, are very commonly used in industry. One major problem faced by these machineries is the harmful, imbalance-induced vibration. Many methods have been developed to reduce this vibration: o!-line balancing methods [1], on-line active balancing methods using mass redistribution devices [2}...

8 but only when turning slowly. Molecular motors are not heat engines. If the energy available from the hydrolysis of ATP were uniformly distributed throughout the F 1-ATPase, it would heat up by less than 0.1 ᑻC and then cool off with a decay time of less than 0.1 ns. The energy available from the binding of ATP or the release of inorganic phosphate (or whatever) must be stored in springs (con...