Application of Volterra and Wiener Theories for Nonlinear Parameter Estimation in a Rotor-Bearing System

Volterra and Wiener theories provide the concepts of linear,bilinear, tri-linear, etc., kernels, which upon convolution with theexcitation force, can be employed to represent the response of anonlinear system. Based on these theories, higher-order frequencyresponse functions (FRFs) are employed to estimate the nonlinearstiffness of rolling element bearings, supporting a rigid rotor. Therotor-bearing assembly is idealized as a single-degree-freedom system,with cubic nonlinearity. The analysis involves a third-order kernelrepresentation of the system response. The first and third-order kerneltransforms are extracted from the measurements of the appliedwhite-noise excitation and the resultant response. A third-order kernelfactor is synthesized from this first-order kernel and is processedalong with the third-order kernel for estimation of the nonlinearparameter. Damping is assumed to be linear in the analysis. Theprocedure is demonstrated through measurements on a laboratory test rig.     

The 3-connected binary matroids with circumference 6 or 7

In this paper, we construct all 3-connected binary matroids with circumference equal to 6 or 7 having large rank.     

CE methods for analysis of isoforms of prostate-specific antigen compatible with online derivatization for LIF detection

Prostate-specific antigen (PSA) is the usual biomarker for prostate cancer (PCa). However, its lack of selectivity has lead to the search for new biomarkers. PSA glycosylation seems to depend on the pathophysiological conditions of the individual. Thus, methods to separate PSA isoforms (peaks) to study their role as PCa markers are needed. In this work, CE methods for PSA isoforms separation, based on the use of different dynamic coatings, are developed using UV detection. Three complementary CE methods allowing the separation of 8 or 9 PSA isoforms are selected. The longest method takes only 17?min, while the shortest one separates 9 isoforms in < 8?min. Depending on the isoforms of interest for their use as PCa biomarker, the CE method to be used can be chosen or various of them can be combined. A remarkable aspect of these methods is that the BGEs employed are devoid of compounds with primary amino groups, making the CE methods compatible with fluorescent on-column derivatization through amino residues. As a proof-of-concept, a preliminary result shows that LIF detection of labeled PSA analyzed by one of the three developed methods permits detection of glycoprotein isoforms.     

Enantioselective formal hydration of α,β-unsaturated acceptors: asymmetric conjugate addition of silicon and boron nucleophiles

The direct enantioselective 1,4-addition of water to α,β-unsaturated acceptors is an open challenge in asymmetric catalysis. Enantioselective conjugate addition of either silicon or boron nucleophiles and subsequent enantiospecific oxidative degradation of the carbon-element bond represents, however, an attractive detour. A single extra step thereby enables an indirect enantiocontrolled construction of (in a broader sense) aldols from α,β-unsaturated carbonyl and carboxyl compounds. While that strategy had been obvious for a long time, it was recent stunning progress in transition metal-catalysed activation of interelement linkages that brought about the solution to that long-standing problem. A concise introduction of existing protocols for stereoselective 1,4-addition of oxygen nucleophiles is followed by a comprehensive summary of the recent rapid advances in transition metal-catalysed (and metal-free) asymmetric conjugate transfer of nucleophilic silicon and boron onto α,β-unsaturated acceptors.     

Exploring the thermochromism of sulfite-embedded polyoxometalate capsules

The Dawson-type polyanion [α-Mo(18)O(54)(SO(3))(2)](4-), with two SO(3)(2-) templates embedded inside a polyoxomolybdate(vi) cage, exhibits thermochromism over an exceptionally wide temperature range (～500 K). The temperature dependence of the cluster structure, established from X-ray crystallography, IR and Raman spectroscopy and DFT calculations, is related to a decreasing HOMO-LUMO gap in the near UV with increasing temperature. We postulate this is due to geometrical changes that affect both the occupied and unoccupied frontier molecular orbitals of this cluster anion.