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The three-dimensional solid finite element model.For further explanation, a relative error is defined as (Ce − Ca)/Ce, in which Ce is the peak response of the beam from the numerical model, as well as the peak response Ca obtained from the model of an Euler beam on the Winkler modulus.Figure 8 illustrates the displacement distribution along the beam axis. It is evident that compared with numerical solutions obtained using the solid finite element model, the displacement obtained using the proposed Winkler foundation modulus performs better than those from the Winkler foundation modulus of Yu. To be specific, the beam’s displacements using the proposed Winkler foundation modulus and Winkler foundation modulus by Yu have errors of 6.15% and 12.29%, respectively. Figure 9 shows the shear force and bending moment response of the beam obtained using different methods. Evidently, compared with the results obtained using the Winkler foundation modulus by Yu, the results adopting the proposed Winkler foundation modulus are closer to the numerical solutions, as for both bending moment and shear force. In detail, compared with the numerical solution, the errors for solutions using the Winkler foundation modulus obtained by Yu are 10.81% for the bending moment and 23.6% for the shear force, respectively. However, the corresponding errors using the proposed Winkler foundation modulus are 2.25% and 7.20%, respectively, which are quite small. 3.2. Comparison with Previous ResearchAn analytical solution for the tunnel’s response under fault creep was proposed by Zhao et al. [24], wherein a model with a Timoshenko beam resting on the Winkler foundation was used to obtain the analytical solution. The foundation modulus by Yu et al. [20] was used in Zhao’s research. In this subsection, the tunnel’s responses under fault creep are obtained based on the analytical solution obtained by Zhao using the proposed Winkler foundation modulus

I have no plans on burning it onto a new disc, as I specifically want it as actual files on my PC.I have encoded the episode two times, one time with Modulus 2, the other with Modulus 16. I see no difference when watching it on my PC, and MediaInfo does not report any difference whatsoever either. So what is it really? XDAny help would be really appreciated! Member Modulus refers to how it can be resized. For instance, modulus 16 is only divisible by 16, and modulus 2 is only divisible by 2, so on and so forth...Sent from my 831C using Tapatalk Member Originally Posted by Southstorm Modulus refers to how it can be resized. For instance, modulus 16 is only divisible by 16, and modulus 2 is only divisible by 2, so on and so forth...Sent from my 831C using Tapatalk Does this mean it affects me in any way in the situations I described? When ripping the content, I am "resizing" the episode from a 1920x1080 source to a 1280x720 encode, but that is still the same aspect ratio, so I'm not cropping away anything or changing the way the picture actually looks. Am I right in assuming that modulus has zero effect on me? What should I leave the setting on? Member I don't use Handbrake, but you'll be okay using Mod8 or lower. 1080 is the only one of the four that isn't Mod16. Maybe it doesn't resize the input resolution, no idea. Maybe Mod8 is the default, I don't know.Edit: After reading the later posts, I went back and realized I meant to say Mod8 or higher. Me, although it's often okay, I don't use Mod4 myself. --> Last edited by manono; 3rd Jan 2016 at 20:13. Member Originally Posted by manono you'll

And Yu’s Winkler foundation modulus. Meanwhile, the corresponding numerical solutions obtained using the solid finite element model in ABAQUS are also given to calculate the errors.The elastic modulus of the fixed and moving block is set to 2 GPa, 3 GPa, and 4 GPa, respectively. The corresponding Poisson’s ratio is set as 0.32. Meanwhile, the fault zone has an elastic modulus of 1 GPa and a Poisson’s ratio of 0.35. The tunnel has an outer radius of 3.1 m and a thickness of 0.35 m. The other parameters are the same as those in the work by Zhao et al. [24]. By comparing with the numerical solution, the errors of internal force from the analytical solutions are given below.Figure 10 gives the errors of the peak internal force response of the tunnel along the tunnel’s axis under fault creep. Regardless of bending moment and shear force, the errors of the analytical solutions by the proposed Winkler foundation modulus are smaller than those of Yu’s Winkler foundation modulus. In detail, the error for the bending moment in Yu’s Winkler modulus exceeds 10% for elastic moduli of 3 GPa and 4 GPa. The errors for the bending moment using the proposed Winkler modulus are all less than 10% for different cases. In terms of shear force, the errors of the analytical solution obtained using the proposed Winkler foundation modulus slightly decrease.Figure 8, Figure 9 and Figure 10 show that the accuracy of the Winkler foundation modulus determined by the fitting solutions of the Euler beam on the Winkler foundation and the beam on the three-dimensional elastic foundation, disregarding tangential interactions, is notably higher than that obtained using Yu’s method, in which the tangential interaction is ignored in the elastic foundation model but considered in the model with a beam on the three-dimensional

Elastic continuum foundation. 4. ConclusionsThe elastic foundation beam model is widely used to obtain the responses of underground structures. The Winkler foundation modulus is key to determining the accuracy of the Winkler foundation modulus. In this paper, an improved Winkler foundation modulus using a full space is deduced, wherein the Winkler foundation modulus is obtained by fitting the bending moment from an elastic foundation beam model and a beam on a three-dimensional elastic foundation. Since the Winkler foundation modulus is only related to the normal interaction between the beam and the foundation, when solving the bending response based on the beam on the Winkler foundation and three-dimensional elastic foundation, only the normal action between the beam and the foundation should be considered, and the tangential action that affects the bending response of the beam should be ignored. By comparison with numerical solutions and previous studies, the proposed Winkler foundation modulus is verified. The proposed Winkler foundation modulus has a higher accuracy than the previous Winkler foundation modulus because the tangential interaction between the beam and the ground is ignored in the solution process. The proposed Winkler foundation modulus can be used to evaluate the responses of underground tunnels, especially tunnels with deep burial depths. Author ContributionsConceptualization, L.X. and X.D.; methodology, L.X., M.Z. and J.H.; software, L.X.; validation, L.X., J.H. and H.L.; data curation, J.H.; writing—original draft preparation, L.X. and J.H.; writing—review and editing, M.Z.; visualization, X.Z. and S.C.; supervision, X.D.; project administration, X.D. All authors have read and agreed to the published version of the manuscript.FundingThis research was funded by the National Natural Science Foundation of China (52378475), the National Key Research and Development Program of China (2022YFC3004305, 2022YFC3004304), the Postdoctoral Research Foundation of China (2023M730200), and the Beijing Postdoctoral Research Foundation (2023-zz-A135), which are gratefully acknowledged.Institutional Review Board StatementNot