• Title/Summary/Keyword: Mass Matrix

Search Result 1,032, Processing Time 0.029 seconds

Differential transform method and numerical assembly technique for free vibration analysis of the axial-loaded Timoshenko multiple-step beam carrying a number of intermediate lumped masses and rotary inertias

  • Yesilce, Yusuf
    • Structural Engineering and Mechanics
    • /
    • v.53 no.3
    • /
    • pp.537-573
    • /
    • 2015
  • Multiple-step beams carrying intermediate lumped masses with/without rotary inertias are widely used in engineering applications, but in the literature for free vibration analysis of such structural systems; Bernoulli-Euler Beam Theory (BEBT) without axial force effect is used. The literature regarding the free vibration analysis of Bernoulli-Euler single-span beams carrying a number of spring-mass systems, Bernoulli-Euler multiple-step and multi-span beams carrying multiple spring-mass systems and multiple point masses are plenty, but that of Timoshenko multiple-step beams carrying intermediate lumped masses and/or rotary inertias with axial force effect is fewer. The purpose of this paper is to utilize Numerical Assembly Technique (NAT) and Differential Transform Method (DTM) to determine the exact natural frequencies and mode shapes of the axial-loaded Timoshenko multiple-step beam carrying a number of intermediate lumped masses and/or rotary inertias. The model allows analyzing the influence of the shear and axial force effects, intermediate lumped masses and rotary inertias on the free vibration analysis of the multiple-step beams by using Timoshenko Beam Theory (TBT). At first, the coefficient matrices for the intermediate lumped mass with rotary inertia, the step change in cross-section, left-end support and right-end support of the multiple-step Timoshenko beam are derived from the analytical solution. After the derivation of the coefficient matrices, NAT is used to establish the overall coefficient matrix for the whole vibrating system. Finally, equating the overall coefficient matrix to zero one determines the natural frequencies of the vibrating system and substituting the corresponding values of integration constants into the related eigenfunctions one determines the associated mode shapes. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the differential equations of the motion. The calculated natural frequencies of Timoshenko multiple-step beam carrying intermediate lumped masses and/or rotary inertias for the different values of axial force are given in tables. The first five mode shapes are presented in graphs. The effects of axial force, intermediate lumped masses and rotary inertias on the free vibration analysis of Timoshenko multiple-step beam are investigated.

Free Vibrations of Linearly Tapered I-Beams (선형(線形) 변단면(變斷面) I-형(型) 부재(部材)의 자유진동(自由振動))

  • Lee, Yong Woo;Min, Kyung Ju
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.14 no.5
    • /
    • pp.1023-1031
    • /
    • 1994
  • The closed forms of consistent mass matrix with rotational inertia matrix are developed for free vibration analysis in space sutructures containing linearly tapered members with cross section of thin-walled I-sections. The exact displacement functions are used for formulating mass matrices. The very small slopes of the tapered member are used in usual practice, such that the series expansion forms of these are also developed to avoid numerical failure in vibration analysis. Significant improvements of accuracy and efficiency of free vibation analysis are achieved by using the mass matrices developed in this study. Frequencies of free vibation of tapered members are compared with solutions based upon stepped representation of beam element in the ANSYS. The mass matrices presented in this study can be used for the free vibration analysis of tapered and prismatic members.

  • PDF

Identification of a Potential Tyrosine Phosphorylation Site on the NR2B Subunit of the N-methyl-D-aspartate Receptor (NMDA 수용체 아단위 2B의 Tyrosine 인산화 위치의 동정)

  • Il Soo Moon;Yong Wook Jung;Bok Hyun Ko
    • Journal of Life Science
    • /
    • v.8 no.6
    • /
    • pp.654-659
    • /
    • 1998
  • The 2B subunit of N-methyl-D-aspartate (NMDA) receptors (NR2B) is the major phosphotyrosine-containing pro-tein in the postsynaptic density (PSD). In order to identify the site for tyrosine phosphorylation on NR2B, a mass spectrometry was applied on tryptic and endolys-C peptides. The NR2B subunit was isolated from N-octyl glucoside (NOG)-insoluble PSD fraction through SDS-PAGE and electroelution. The eluted protein was confirmed to be NR2B and phosphorylated on tyrosine by its cognate antibody and phosphotyrosine-specific antibody. By matrix-assisted laser desorption/ionization time-of-flight (MALDI-TOF) mass spectrometry of the peptides generated by digesting the eluted NR2B with trysin or endolys-C, a potential site for tyrosine phosphorylation could be identified as Tyr-1304.

  • PDF

A Comprehensive Identification of Synaptic Vesicle Proteins in Rat Brains by cRPLC/MS-MS and 2DE/MALDI-TOF-MS

  • Lee, Won-Kyu;Kim, Hye-Jung;Min, Hye-Ki;Kang, Un-Beom;Lee, Cheol-Ju;Lee, Sang-Won;Kim, Ick-Young;Lee, Seung-Taek;Kwon, Oh-Seung;Yu, Yeon-Gyu
    • Bulletin of the Korean Chemical Society
    • /
    • v.28 no.9
    • /
    • pp.1499-1509
    • /
    • 2007
  • Proteomic analyses of synaptic vesicle fraction from rat brain have been performed for the better understanding of vesicle regulation and signal transmission. Two different approaches were applied to identify proteins in synaptic vesicle fraction. First, the isolated synaptic vesicle proteins were treated with trypsin, and the resulting peptides were analyzed using a high-pressure capillary reversed phase liquid chromatography/tandem mass spectrometry (cRPLC/MS/MS). Alternatively, proteins were separated by two-dimensional gel electrophoresis (2DE) and identified by matrix-assisted laser desorption ionization mass spectrometry (MALDI-TOF/MS). Total 18 and 52 proteins were identified from cRPLC/MS-MS and 2DE-MALDI-TOF-MS analysis, respectively. Among them only 2 proteins were identified by both methods. Of the proteins identified, 70% were soluble proteins and 30% were membrane proteins. They were categorized by their functions in vesicle trafficking and biogenesis, energy metabolism, signal transduction, transport and unknown functions. Among them, 27 proteins were not previously reported as synaptic proteins. The cellular functions of unknown proteins were estimated from the analysis of domain structure, expression profile and predicted interaction partners.

Ambient modal identification of structures equipped with tuned mass dampers using parallel factor blind source separation

  • Sadhu, A.;Hazraa, B.;Narasimhan, S.
    • Smart Structures and Systems
    • /
    • v.13 no.2
    • /
    • pp.257-280
    • /
    • 2014
  • In this paper, a novel PARAllel FACtor (PARAFAC) decomposition based Blind Source Separation (BSS) algorithm is proposed for modal identification of structures equipped with tuned mass dampers. Tuned mass dampers (TMDs) are extremely effective vibration absorbers in tall flexible structures, but prone to get de-tuned due to accidental changes in structural properties, alteration in operating conditions, and incorrect design forecasts. Presence of closely spaced modes in structures coupled with TMDs renders output-only modal identification difficult. Over the last decade, second-order BSS algorithms have shown significant promise in the area of ambient modal identification. These methods employ joint diagonalization of covariance matrices of measurements to estimate the mixing matrix (mode shape coefficients) and sources (modal responses). Recently, PARAFAC BSS model has evolved as a powerful multi-linear algebra tool for decomposing an $n^{th}$ order tensor into a number of rank-1 tensors. This method is utilized in the context of modal identification in the present study. Covariance matrices of measurements at several lags are used to form a $3^{rd}$ order tensor and then PARAFAC decomposition is employed to obtain the desired number of components, comprising of modal responses and the mixing matrix. The strong uniqueness properties of PARAFAC models enable direct source separation with fine spectral resolution even in cases where the number of sensor observations is less compared to the number of target modes, i.e., the underdetermined case. This capability is exploited to separate closely spaced modes of the TMDs using partial measurements, and subsequently to estimate modal parameters. The proposed method is validated using extensive numerical studies comprising of multi-degree-of-freedom simulation models equipped with TMDs, as well as with an experimental set-up.

Development and Validation of an LC-MS/MS Method for Determination of Damaurone D in Rat Plasma and its Application to Pharmacokinetic Study in Rats

  • Lee, Wonpyo;Song, Im-Sook;Han, Young Taek;Choi, Min-Koo
    • Mass Spectrometry Letters
    • /
    • v.10 no.1
    • /
    • pp.38-42
    • /
    • 2019
  • Damaurone D belongs to the genus Rosa and is a traditional medicinal product used for the treatment of depression, inflammation, and infectious diseases. The purpose of this study was to develop a simple liquid chromatography-tandem mass spectrometry method for the detection of damaurone D in rat plasma and to demonstrate its application in pharmacokinetic studies. Damaurone D and berberine (internal standard) were extracted with acetonitrile using a protein precipitation method. Mass transition was monitored in multiple reaction monitoring mode at m/z $323.2{\rightarrow}267.0$ for damaurone D and m/z $336.1{\rightarrow}320.0$ for berberine in positive ion mode. Analytical validation was conducted by evaluating the specificity, linearity, accuracy, precision, matrix effect, extraction recovery, and stability. The calibration curves were linear over 2-1000 ng/mL. The intra- and inter-day precision and accuracy of quality control samples were 4.79-13.33% and 86.23-102.75%, respectively. The matrix effect and extraction recovery were 96.11-98.47% and 96.11-102.25%, respectively. In the pharmacokinetic study after intravenous administration of damaurone D at a dose of 3 mg/kg in rats, the area under the curve and clearance of damaurone D in rat plasma were $16750.26{\pm}2676.10min{\cdot}ng/mL$ and $182.44{\pm}31.36mL/min/kg$, respectively.

Simultaneous Determination of Statins in Human Urine by Dilute-and-Shoot-Liquid Chromatography-Mass Spectrometry

  • Jang, Haejong;Mai, Xuan-Lan;Lee, Gunhee;Ahn, Jae Hyoung;Rhee, Jongsook;Truong, Quoc-Ky;Vinh, Dinh;Hong, Jongki;Kim, Kyeong Ho
    • Mass Spectrometry Letters
    • /
    • v.9 no.4
    • /
    • pp.95-99
    • /
    • 2018
  • An innovative, simple, and rapid assay method based on liquid chromatography coupled with tandem mass spectrometry (LC-MS/MS) was developed and validated for the simultaneous determination of eight statin drugs in human urine. A simple sample clean-up procedure using the "dilute and shoot" (DAS) approach enabled a fast and reliable analysis. The influence of the dilution factor was investigated to ensure detectability and reduce the matrix effect. Chromatographic separation was performed on a Phenomenex Kinetex C18 column ($50{\times}3.0mm$ i.d., $2.6{\mu}m$) using an elution gradient of mobile phase A composed of 0.1% acetic acid, and mobile phase B composed of acetonitrile, at a flow rate of 0.35 mL/min. Quantitation was performed on a triple quadrupole mass spectrometer operated in multiple reaction monitoring (MRM) mode using electrospray ionization in positive ion mode. The total chromatographic run time was 15 min. The method was validated for selectivity, sensitivity, recovery, linearity, accuracy, precision, and stability. The present method was successfully applied to the analysis of Rosuvastatin in urine samples after oral administration to healthy human subjects.

Analysis of Vibration for the Pre-twisted Beam Considering the Effect of Rotary Inertia Using the Transfer Matrix Mathod (전달행렬법을 이용하여 비틀림 각과 회전관성을 고려한 보의 진동해석)

  • Lee, Jung Youn
    • Transactions of the Korean Society for Noise and Vibration Engineering
    • /
    • v.26 no.2
    • /
    • pp.217-224
    • /
    • 2016
  • In this study, a transfer matrix method (TMM) for a twisted uniform beam considering the effect of rotary inertia is developed, and the differential equation and the displacements and forces are derived from Hamilton's principle. The particular transfer matrix is derived by applying the distributed mass and transcendental function while using a local coordinate system. In addition, the results obtained from this method are independent for a number of subdivided elements, and this method can determine the exact solutions for the free vibration characteristics of a twisted uniform Rayleigh beam. To validate the accuracy of the proposed TMM, the computed results are compared with those reported in the existing literature, and the comparison results indicate notably good agreement. In addition, the method is used to investigate the effects of rotary inertia for a twisted beam.

PRODUCTION OF HUMAN PROTEIN TIMP-2: A HIGHLY EFFECTIVE ANTI-AGING INGREDIENT

  • Schutz, R.;Imfeld, D.
    • Proceedings of the SCSK Conference
    • /
    • 2003.09a
    • /
    • pp.590-600
    • /
    • 2003
  • The matrix metalloproteinases (MMPs) are a family of enzymes responsible for degrading connective tissue. MMPs catalyze the breakdown of collagen from the extracellular matrix, leading to wrinkle formation and accelerated skin aging. Furthermore, ultraviolet irradiation causes increased expression of certain MMPs. In the extracellular matrix turnover, MMPs are interacting with endogenous regulators named tissue inhibitors of metalloproteinases (TIMPs). Using peptide substrate assays, it has been demonstrated that TIMP-MMP complexes interact highly specifically with $K_{i}$ values of 10$^{-9}$ -10$^{-16}$ M. Therefore applications for TIMP as inhibitor of collagen degradation are suggested for cosmetic anti-aging products to prevent wrinkle formation and loss of elasticity. To date four TIMP proteins (TIMP-1, TIMP-2, TIMP-3 and TIMP-4) have been identified which show a high degree in sequence similarity. The production of human TIMP-2, a 194-residue nonglycosylated protein, was performed by fed-batch culture of Escherichia coli. TIMP-2 accumulated in the bacterial cells in an insoluble form as inclusion bodies. The inclusion bodies were solubilized and the protein refolded to yield the native TIMP-2 in the active form. The integrity of the protein was confirmed by mass analysis, Edman sequencing and gel shift experiments with authentic samples. The inhibitory activity of the refolded and purified TIMP-2 was demonstrated with MMP-1 and MMP-2 assays using synthetic fluorogenic peptide substrates.s.

  • PDF