A nonuniform quantization index modulation watermarking algorithm based on image wavelet transform was presented to improve the robustness and invisibility of digital watermark.

Results In the phantom images,the 153 Gd nonuniform attenuation correction offered much better quality of the images by commenting the images with visual observation and the ration of the ROI.

The research proves that sulfur (S) is main impurity element causing grain boundary weakening and creep embritt1ement of domestic steel T91/P91, and that the high content of residual elements such as aluminum (Al) in Shanghai made T9l and titanium (Ti) in Sichuan made T91 causes nonuniform distribution of diffused phase Nb, V(C,N) and reduction of volumetric ratio in steel.

(2) a nonuniform thickness distribution within 0~15°, a uniform thickness distribution within 15°~180° away from the weld line are observed in the FHB of seamed tubes, which is similar to that observed in the FHB of seamless tube with the same condition;

In petroleum exploration,conventional radio positioning system is difficult to meet working requirement,due to its positional accuracy nonuniform in whole measuring erea.

A nonuniform quantization index modulation watermarking algorithm based on image wavelet transform was presented to improve the robustness and invisibility of digital watermark.

Results In the phantom images,the 153 Gd nonuniform attenuation correction offered much better quality of the images by commenting the images with visual observation and the ration of the ROI.

In this paper,the priority control method,called "Hot Spot Push Out" (HSPO),is used for analyzing the performance of shared buffer ATM switches under a non uniform traffic.

In this paper, A new finite difference scheme is proposed on nonuniform rectangular partition for the thermistor problem.

Boundary stabilization of nonuniform Timoshenko beam

In this paper, the boundary stabilization of the Timoshenko equation of a nonuniform beam, with clamped boundary condition at one end and with bending moment and shear force controls at the other end, is considered.

Exponential stabilization of nonuniform Timoshenko beam with locally distributed feedbacks

The stabilization of the Timoshenko equation of a nonuniform beam with locally distributed feedbacks is considered.

The method of complementary I_0/I diagram for simplifying the computations of non-uniform beam constants is presented in this paper. The so-called "complementary I_0/I diagram" is the remaining I_0/I diagram of the haunched or de-haunched (or tapered) parts at the two ends of a beam after the I_0/I diagram of a non-uniform beam has been subtracted from the I_0/I = 1 diagram of a uniform beam.In the method of I_0/I diagram presented previously by the second author, the various momental areas have to be computed...

The method of complementary I_0/I diagram for simplifying the computations of non-uniform beam constants is presented in this paper. The so-called "complementary I_0/I diagram" is the remaining I_0/I diagram of the haunched or de-haunched (or tapered) parts at the two ends of a beam after the I_0/I diagram of a non-uniform beam has been subtracted from the I_0/I = 1 diagram of a uniform beam.In the method of I_0/I diagram presented previously by the second author, the various momental areas have to be computed for the entire length of a beam; in the method of complementary I_0/I diagram, the various momental areas need be computed for the lengths of the non-uniform sections at the two ends of the beam only. Hence the latter method is somewhat simpler than the former and may be considered as its improvement.The angle-change constants are the fundamental constants of a nonuniform beam, and only the coefficients of the angle-change constants need be computed. As any non-uniform beam may be considered as a uniform beam haunched or de-haunched or tapered at its one or both ends, the various anglechange coefficients φ may be computed separately in three distinct parts, viz., of a uniform beam, and φ~a and φ~b of the haunches at its two ends a and b, and then summed up as shown by the following general equation:φ=φ~a-φ~b (A) The values φ~a and φ~b are positive for haunched beams and negative for dehaunched or tapered beams, and either of them is zero for the end which is neither haunched nor de-haunched. To simplify the computations of the values of φ~a and φ~b, the complementary I_0/I diagram at each end of a beam is substituted by a cubic parabola passing through its two ends and the two intermediate points of the abscissas equal to 0.3 and 0.7 of its length. Then the value of φ~a or φ~b is computed with an error of usually less than 1% by the following formula:φ~a or φ~b = K_(0y0)+K_(3y3)+K_(7y7), (B) wherein y0, y3 and y7 are respectively the ordinates at the abscissa equal to 0, 0.3, and 0.7 of the length of the diagram, and the three corresponding values K_0, K_3 and K_7 are to be found from the previously computed tables.A set of the tables of K-values for calculating the values of φ~a and φ~b of the shape angle-changes and the load angle-changes under various loading conditions may be easily computed, which evidently has the following advantages: (1) As indicated by formulas (A) and (B), the computations of φ~a, φ~b and φ with K-values known are very simple; (2) the approximation of the results obtained is very close; (3) A single set of such K-value of the tables is applicable to non-uniform beams of any shape, any make-up, and any crosssection; and (4) as the K-values are by far easier to compute than any other constants, a comprehensive set of the tables of K-values with close intervals and including many loading conditions may be easily computed.Besides, by means of formulas (A), existing tables of constants such as A. Strassner's for beams haunched at one end only may be utilized to compute the shape and load constants for asymmetrical beams with entirely different haunches at both ends.Finally, five simple but typical examples are worked out first by the approximate method and then checked by some precise method in order to show that the approximation is usually extremely close.

The analysis of stepped beams on spring foundation is a problem of practical importance. It is shown in the paper that this problem is similar to that of a continuous curved beam on rigid supports and can be most easily solved by method of special slope deflection equations. The formulas for computing load and shape constants being necessarily long, a number of tables of useful functions have been prepared to aid in a quick analysis and a typical example is given. The theory and functions presented in the paper...

The analysis of stepped beams on spring foundation is a problem of practical importance. It is shown in the paper that this problem is similar to that of a continuous curved beam on rigid supports and can be most easily solved by method of special slope deflection equations. The formulas for computing load and shape constants being necessarily long, a number of tables of useful functions have been prepared to aid in a quick analysis and a typical example is given. The theory and functions presented in the paper are also applicable in analyzing other problems with same mathematical nature, such as the problem of axisymmetrical bending of cylinders with nonuniform wall thickness.

Circular plates with ring-stiffeners have been used frequently in practice. especially in water supply and sewage engineering st?ctures. Practical experiences point out thatthe use of ring-stiffened circular plate of non-uniform cross section can save more ma-terials than that of uniform section. As yet, however, the analytical procedure becomestoo complex to the designer. In this article the author proposes a method to adopt the so called "No Shear Mo-ment Distribution" to the analysis of ring-stiffened, non-uniform...

Circular plates with ring-stiffeners have been used frequently in practice. especially in water supply and sewage engineering st?ctures. Practical experiences point out thatthe use of ring-stiffened circular plate of non-uniform cross section can save more ma-terials than that of uniform section. As yet, however, the analytical procedure becomestoo complex to the designer. In this article the author proposes a method to adopt the so called "No Shear Mo-ment Distribution" to the analysis of ring-stiffened, non-uniform circular plates. Usingthis new method, the task required to analyze a circular plate with n stiffening ribs isjust the same as to that of a continuous beam having n+1 spans, Solution of differen-tial equations or simultaneous equations are completely avoided. By suitable transformation of the equations given in this paper, the method can alsobe applied to metallic circular plates of nonuniform cross section with ring-stiffeners,o? to the analysis of rotating disks.