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The aim of this paper is to present a finite element modeling of the dynamic motion of a turbine rotor and its controller design with the mass unbalance under a crack on a rotating shaft. This process is an advanced method to the mathematical description of a system including an influence of a mass unbalance and a crack on the rotor shaft. As the first step, the shaft is physically modeled with a finite element method and the dynamic mathematical model is derived by using the Hamilton principle; thus, the system is represented by various subsystems. The equation of motion of a shaft with a mass unbalance and a crack is established by adapting the local mass unbalance and stiffness change through breathing and gaping from the existence of a crack. This is a reference system for the given system. Based on a fictitious model for transient behavior induced from vibration phenomena measured at the bearings, an elementary estimator is designed for the safety control and detection of a mass unbalance on the shaft. Using the state estimator, a bank of an estimator is established to get the diagnosis and the system data for a controller.
The purpose of this study was to test the effect of individualized music on
agitation for homedwelling patients with dementia. Method: One group pre-post
test was used for research design and a total of 26 subjects participated in
this study. Individualized music intervention was subjects’ listening to their
preferred music for 30 minutes prior to peak agitation time twice a week for a
total of four sessions. The subject’s agitation levels were measured for three
different points: thirty minutes prior to listening to music, 30 minutes while
listening to the music, and after listening to the music throughout the 4 sessions.
To measure the agitation level, the modified CohenMansfield Agitation Inventory
was used. A Paired ttest was used for data analysis. Results: Most subjects
were female (73.1%), Caucasian (92.4%), Protestant (50%), and independent
activity (53.8%). The mean of the subjects’ MMSE scores was 8.08 (8.17). The most
favorite music types included country/western music (31.0%), religious music
(26.9%), and big band (26.9%). Agitation level decreased while listening to the
music compared to the baseline (t = 3.70, p < .001). Conclusion: The
findings of this study would provide meaningful data to develop an
individualized music intervention protocol to control agitation for homedwelling
patients with dementia.
Let E be an elliptic curve over a given number field . By Mordell’s Theorem, the torsion subgroup of E defined over Q is a finite group. Using Lutz-Nagell Theorem, we explicitly calculate the torsion subgroup E(Q)tors for certain elliptic curves depending on their coefficients.