A hybrid method for stochastic response analysis of a vibrating structure

Response analysis of a linear structure with uncertainties in both structural parameters and external excitation is considered here. When such an analysis is carried out using the spectral stochastic finite element method (SSFEM), often the computational cost tends to be prohibitive due to the rapid growth of the number of spectral bases with the number of random variables and the order of expansion. For instance, if the excitation contains a random frequency, or if it is a general random process, then a good approximation of these excitations using polynomial chaos expansion (PCE) involves a large number of terms, which leads to very high cost. To address this issue of high computational cost, a hybrid method is proposed in this work. In this method, first the random eigenvalue problem is solved using the weak formulation of SSFEM, which involves solving a system of deterministic nonlinear algebraic equations to estimate the PCE coefficients of the random eigenvalues and eigenvectors. Then the response is estimated using a Monte Carlo (MC) simulation, where the modal bases are sampled from the PCE of the random eigenvectors estimated in the previous step, followed by a numerical time integration. It is observed through numerical studies that this proposed method successfully reduces the computational burden compared with either a pure SSFEM of a pure MC simulation and more accurate than a perturbation method. The computational gain improves as the problem size in terms of degrees of freedom grows. It also improves as the timespan of interest reduces.

Mass spectrometry based characterization of Hb Beckman variant in a falsely elevated HbA(1c) sample

Glycated hemoglobin (HbA(1c)) is a `gold standard' biomarker for assessing the glycemic index of an individual. HbA(1c) is formed due to nonenzymatic glycosylation at N-terminal valine residue of the P-globin chain. Cation exchange based high performance liquid chromatography (CE HPLC) is mostly used to quantify HbA(1c), in blood sample. A few genetic variants of hemoglobin and post-translationally modified variants of hemoglobin interfere with CE HPLC-based quantification,. resulting in its false positive estimation. Using mass spectrometry, we analyzed a blood sample with abnormally high HbA(1c) (52.1%) in the CE HPLC method. The observed HbA(1c) did not corroborate the blood glucose level of the patient. A mass spectrometry based bottom up proteomics approach, intact globin chain mass analysis, and chemical modification of the proteolytic peptides identified the presence of Hb Beckman, a genetic variant of hemoglobin, in the experimental sample. A similar surface area to charge ratio between HbA(1c) and Hb Beckman might have resulted in the coelution of the variant with HbA(1c) in CE HPLC. Therefore, in the screening of diabetes mellitus through the estimation of HbA(1c), it is important to look for genetic variants of hemoglobin in samples that show abnormally high glycemic index, and HbA(1c) must be estimated using an alternative method. (C) 2015 Elsevier Inc. All rights reserved.

Anomalous re-entrant glassy magnetic phase in LaMn0.5Co0.5O3 single crystals

We report an anomalous re-entrant glassy magnetic phase in (l00) oriented ferromagnetic LaMn0.5Co0.5O3 single crystals. The characterization is fortified with conventional magnetometry, like linear as-well-as non-linear ac susceptibility and specific heat. As the sample is cooled below the ferromagnetic transition temperature, it reenters a glassy magnetic phase whose dynamics have little resemblance with the conventional response. The glassy transition shifts to a higher temperature with increasing frequency of the applied ac field. But it does not respond to the dc biasing or memory experiment. Specific heat as well as non-linear ac susceptibility data also do not relate to the conventional glassy response. Unusually low magnetic entropy indicates the lack of long range magnetic ordering. The results demonstrate that the glassy phase in LaMn0.5Co0.5O3 is not due to any of the known conventional origins. We infer that the competing ferromagnetic and antiferromagnetic interaction due to high B-site disorder is responsible for this anomalous re-entrant glassy phase. (C) 2016 AIP Publishing LLC.

Measurement of existing prestressing force in concrete structures through an embedded vibrating beam strain gauge

A steel frame is designed to measure the existing prestressing force in the concrete beams and slabs when embedded inside the concrete members. The steel frame is designed to work on the principles of a vibrating wire strain gauge and in the present study is referred to as a vibrating beam strain gauge (VBSG). The existing strain in the VBSG is evaluated using both frequency data on the stretched member and static strain corresponding to a fixed static load, measured using electrical strain gauges. The evaluated strain in the VBSG corresponds to the existing stain in the concrete surrounding the prestressing strands. The crack reopening load method is used to compute the existing prestressing force in the concrete members and is then compared with the existing prestressing force obtained from the VBSG at that section. Digital image correlation based surface deformation and change in neutral axis monitored by putting electrical strain gauges across the cross section, are used to compute the crack reopening load accurately. (C) 2016 Elsevier Ltd. All rights reserved.

Anomalous re-entrant glassy magnetic phase in LaMn0.5Co0.5O3 single crystals

We report an anomalous re-entrant glassy magnetic phase in (l00) oriented ferromagnetic LaMn0.5Co0.5O3 single crystals. The characterization is fortified with conventional magnetometry, like linear as-well-as non-linear ac susceptibility and specific heat. As the sample is cooled below the ferromagnetic transition temperature, it reenters a glassy magnetic phase whose dynamics have little resemblance with the conventional response. The glassy transition shifts to a higher temperature with increasing frequency of the applied ac field. But it does not respond to the dc biasing or memory experiment. Specific heat as well as non-linear ac susceptibility data also do not relate to the conventional glassy response. Unusually low magnetic entropy indicates the lack of long range magnetic ordering. The results demonstrate that the glassy phase in LaMn0.5Co0.5O3 is not due to any of the known conventional origins. We infer that the competing ferromagnetic and antiferromagnetic interaction due to high B-site disorder is responsible for this anomalous re-entrant glassy phase. (C) 2016 AIP Publishing LLC.