Vibration of an Adhered Microbeam Under a Periodically Shaking Electrical Force

The vibration analysis of an adhered S-shaped microbeam under alternating sinusoidal voltage is presented. The shaking force is the electrical force due to the sinusoidal voltage. During vibration, both the microbeam deflection and the adhesion length keep changing. The microbeam deflection and adhesion length are numerically determined by the iteration method. As the adhesion length keeps changing, the domain of the equation of motion for the microbeam (unadhered part) changes correspondingly, which results in changes of the structure natural frequencies. For this reason, the system can never reach a steady state. The transient behaviors of the microbeam under different shaking frequencies are compared. We deliberately choose the initial conditions to compare our dynamic results with the existing static theory. The paper also analyzes the changing behavior of adhesion length during vibration and an asymmetric pattern of adhesion length change is revealed, which may be used to guide the dynamic de-adhering process. The abnormal behavior of the adhered microbeam vibrating at almost the same frequency under two quite different shaking frequencies is also shown. The Galerkin method is used to discretize the equation of motion and its convergence study is also presented. The model is only applicable in the case that the peel number is equal to 1. Some other model limitations are also discussed.

Convergence of attractors

The system of coupled oscillators and its time-discretization (with constant stepsize h) are considered in this paper. Under some conditions, it is showed that the discrete systems have one-dimensional global attractors l(h) converging to l which is the global attractor of continuous system.

Zebrafish eaf1 and eaf2/u19 Mediate Effective Convergence and Extension Movements through the Maintenance of wnt11 and wnt5 Expression

Studies have attributed several functions to the Eaf family, including tumor suppression and eye development. Given the potential association between cancer and development, we set forth to explore Eaf1 and Eaf2/U19 activity in vertebrate embryogenesis, using zebrafish. In situ hybridization revealed similar eaf1 and eaf2/u19 expression patterns. Morpholino-mediated knockdown of either eaf1 or eaf2/u19 expression produced similar morphological changes that could be reversed by ectopic expression of target or reciprocal-target mRNA. However, combination of Eaf1 and Eaf2/U19 (Eafs)-morpholinos increased the severity of defects, suggesting that Eaf1 and Eaf2/U19 only share some functional redundancy. The Eafs knockdown phenotype resembled that of embryos with defects in convergence and extension movements. Indeed, knockdown caused expression pattern changes for convergence and extension movement markers, whereas cell tracing experiments using kaeda mRNA showed a correlation between Eafs knockdown and cell migration defects. Cardiac and pancreatic differentiation markers revealed that Eafs knockdown also disrupted midline convergence of heart and pancreatic organ precursors. Noncanonical Wnt signaling plays a key role in both convergence and extension movements and midline convergence of organ precursors. We found that Eaf1 and Eaf2/U19 maintained expression levels of wnt11 and wnt5. Moreover, wnt11 or wnt5 mRNA partially rescued the convergence and extension movement defects occurring in eafs morphants. Wnt11 and Wnt5 converge on rhoA, so not surprisingly, rhoA mRNA more effectively rescued defects than either wnt11 or wnt5 mRNA alone. However, the ectopic expression of wnt11 and wnt5 did not affect eaf1 and eaf2/u19 expression. These data indicate that eaf1 and eaf2/u19 act upstream of noncanonical Wnt signaling to mediate convergence and extension movements.

中国大陆地区远震体波接收函数与岩石圈厚度的研究

Movements of separation and convergence between the continental plates, as well as the interaction beween the lithosphere and asthenosphere is the dominant factor in plate evolution. Moreover, those phenomena, the formation, enrichment and storage of energy and mineral strorage, as well as intraplate earthquakes are all relate to plate movement and evolution. Therefore, the study of continental lithosphere, is not only helpful to analysing the dynamic model between lithosphere and asthenoshere as well as different plates, but also important to the nation's economy and the people's livelihood. And the lithospheric thickness or Lithosphere-Asthenosphere Boundary (LAB) is one of the most important parameters in study of continental lithospheric formation and evolution. Chinese continent composed by many small plates, possesses diverse type of lithospheric structure. But our knowledge ahout Chinese continental lithosphere, especially the regional research, is almost based on the low-resolution results of surface wave dispersion analysis and seismic wave tomography. Howere, recently a technique employing S-to-P converted body waves (the S receiver function technique) has been developed that can be used to identify the LAB with a higher resolution. This thesis has collected waveform data of 232 broadband seismic stations that are located in China and neighboring regions. Using teleseismic S-wave and P-wave receiver functions have studied the Chinese continental lithospheric structure. The results of this study indicate that, the thickness of Chinese continental lithosphere become thinner from west to east, and obvious difference exists between different blocks. Four types of lithosphere have been detected: (1) Convergence thicking lithosphere in Tibetan Plateau; (2) Stable lithosphere in Tarim basin and upper Yangtze craton; (4) Active lithosphere in Orogenic belts; (4) Break-up thinning lithosphere in east China craton

青藏高原壳幔形变与层圈耦合数值模拟

Based on multi-principle (such as structures, tectonics and kinematics) exploratory data and related results of continental dynamics in the Tibetan plateau, the author reconstructed the geological-geophysical model of lithospherical structure and tectonic deformation, and the kinetics boundary conditions for the model. Then, the author used the numerical scheme of Fast Lagrangian Analysis of Continua (FLAC), to stimulate the possible process of the stress field and deformational field in the Tibetan plateau and its adjacent area, since the convergence-collision between the Indian continent and Eurasia continent about 50Ma ago. With the above-mentioned results, the author discussed the relationship between crustal movement in shallow layer and the deformational process in interior layers, and its possible dynamic constraints in deep. At the end of the paper, an integrative model has been put forward to explain the outline images of crust-mantle deformation and coupling in the Tibetan Plateau. (1) The characteristics of crust-mantle structure of the Tibetan plateau have been shown to be very complex, and vertical and horizontal difference is significant. The general characteristics of crust-mantle of the Tibetan plateau may be that it's layering in depth direction, and shows blocking from south to north and belting from east to west, mainly according to the results of about 20 seismic sections, such as wide-angle seismic profiles, CMP, seismic tomography and so on. (2) The crust had shortened about 2200km, while the shortening is different for different block from south to north in the Tibetan plateau. It is about 11.5mm/a in Himalayan block, about 9.0mm/a in Lhas-Gangdese block, about 7.0mm/a in Qiangtang block and Songpan-Ganzi-Kekexili block, about 8.0mm/a in Kunlun-Qaidam, and about ll.Omm/a in Qilian block, since the convergence-collision between the Indian continent and Eurasia continent about 50Ma ago. Which - in demonstrates the shortening rate decreases from south to north, but this rate increases near the north edge of the Tibetan plateau. The crust thickening rate is about 0.4mm/a in the whole Tibetan plateau; and this rate is about 0.5mm/a in Himalayan block, about 0.4mm/a in Lhas-Gangdese block, about 0.3mm/a in Qiangtang block, about 0.2mm/a in Songpan-Ganzi-Kekexili block and about O.lmm/a in Kunlun-Qaidam-Qilian block, since the convergence-collision between the Indian continent and Eurasia continent about 50Ma ago. This implies that the thickening rate decreases in the blocks of the Tibetan plateau. From south to north, the displacement of eastern boundary in the Tibetan plateau is about 37mm/a in Himalayan block, about 45mm/a in Lhas-Gangdese block, about 47mm/a in Qiangtang block, about 43mm/a in Songpan-Ganzi-Kekexili block, and about 35mm/a in Kunlun-Qaidam-Qilian block, since the collision-matching between the Indian continent and Eurasia continent had happened about 50Ma ago. This implies that the rate of eastward displacement is biggest in the middle of plateau, and decreases to both sides. The transition of S-N compression stress field in Tibetan Plateau, since about 28Ma+ ago, may be caused by two reasons: On one hand, the movement direction of Eurasia continent changed from northward to southward about 28Ma± ago in the northern plateau. On the other hand, the front belt that is located between India continent's and Eurasia continent's convergence-collision, had moved southward to high Himalayan from Indus-Brahmaputra suture almost at the same time in southern plateau. Affected by the stress field, the earlier tectonics rotated clockwise, NE and NW conjugate strike-slip faults developed, and the SN rift formed. This indicated that the EW movement started. The ratio between upper crust and lower crust of different blocks from south to north in the Tibetan plateau during the process of deformation are as following: about 3.5~5:1 in Himalayan block, about 1~5: 3-4 (which is about 1:3o--4 in south and about 4~5:3 in north) in Lhas-Gangdese block, about 1:3~447mm/a in these blocks: Which is located to the north of Banggong-nujiang suture.