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您的检索式：作者名="Chunlei Bian"
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| 1 | Correction Factors of the Approximate Theories for Axisymmetric Modes of Longitudinal Waves in Circular Rods显示文摘The longitudinal waves guided by rods are widely used in broad engineering fields.Approximate theories are required to improve the understanding of the longitudinal wave propagation in finite rods in particular.The correction factors are commonly used in the vibration analyses of beams and plates,but are seldom adopted to the longitudinal wave propagation in rods in a similar manner.In this paper,the longitudinal and radial displacements in axisymmetric problems of circular rods are expanded in infinite power series of the radial coordinate.By using Hamilton’s principle,an infinite one-dimensional system of equations of motion is established.The high-order components of stress and strain,and their relations are introduced to obtain the infinite one-dimensional system for the axisymmetric wave propagation in elastic rods.A proper truncation of the infinite equations leads to an approximate theory of a specific order.To improve the truncated equations,some high-order components of strain are multiplied by the correction factors.The correction factors for the first-to fourth-order approximations are systematically determined to ensure that the cutoff frequencies are the same as the exact values calculated by the Pochhmammer–Chree equation.The frequency spectra,via the well-known Pochhmammer–Chree equation and the approximate theories of order one to four,are presented for comparison in a region where the longitudinal wave is not attenuating and the wavelength in the axial direction is longer than the diameter of the rod.Compared to the approximate theories without correction factors,the approximate theories with correction factors show some advantages in accuracy when the branches are high. | Longtao Xie Chunlei Bian Ji Wang | 2022 | Acta Mechanica Solida Sinica2022，35，5： | 0 |
| 2 | Fractional Distribution of Lead and Cadmium in Sludge and Soil Amended with Sludge Compost显示文摘The modified three-step sequential extraction procedure proposed by the BCR was used to predict Pb and Cd fractional distribution in sewage sludge and tomato soil amended with sludge compost. There was no significant increasing of Pb and Cd contents in the soil with sludge application as compared with that in the reference soil. The Pb contents were much lower for the soil samples than for the National Soil Standards of Environmental Quality, but Cd contents in soil were much more than background mean Cd contents. Pb content in soil fractions was followed with residual Pb > reducible Pb > exchangeable and weak acid soluble Pb > oxidizable Pb. In all soil samples, the partitioning of Cd had the same extractability in the first two steps of the procedure and the residual fraction. Only a small fraction or almost zero extractability was observed at the oxidation step for Pb and Cd. | E Yong BIAN Wei SHAN Dexin ZHANG Di FU Chunlei | 2006 | Journal of Northeast Agricultural University(English Edition)2006，13，2： | 0 |
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