scholarly journals PERILAKU DINAMIK PELAT PERKERASAN KAKU AKIBAT BEBAN BERGERAK DENGAN KECEPATAN TIDAK KONSTAN

2020 ◽  
Vol 4 (1) ◽  
pp. 115
Author(s):  
Ridwan Halim ◽  
Sofia Alisjahbana
Keyword(s):  
Dynamic Load ◽  
Function Analysis ◽  
Concrete Slab ◽  
Soft Soil ◽  
Damping Ratio ◽  
Delta Function ◽  
Transverse Load ◽  
Soil Conditions ◽  
Soil Medium ◽  
Dirac Delta

Structural hard structures are often found in industrial buildings, especially in road structures. Most of the vehicles that pass on this road are heavy vehicles such as trucks with heavy loads. So, the engineer must design precisely so that this structure can meet the requirements of strength and deflection. The dynamic analysis of rigid pavement in this thesis is modeled as a concrete slab with boundary conditions all the edges of the slab have a semi rigid footing and on top of the soil media with a Pasternak foundation model that has elastic vertical spring support and a continuous sliding layer underneath. Transverse load that crosses the surface of the plate in the form of a dynamic load that has a initial speed and fixed acceleration. The load is modeled as a single axis centered load equivalent to variations in vehicle types such as: Colt Diesel Double (CDD) Los Bak, Colt Diesel Double (CDD) Long Box, and Colt Diesel Double (CDD) Body. In this study, various types of parameters will be analyzed, including the coefficient of the vehicle, the value of the damping ratio (damping ratio), and various supporting soil conditions, namely soft soil, medium soil and hard soil. Solving the plate dynamics problem with semi-rigid conditions using the Modified Bolotin Method (MBM) with the help of two transcendental equations. This dynamic load function solving uses the special properties of the Dirac-delta function. Analysis is carried out when the load is on the plate (0 ≤ t ≤ t0) with the final result obtained is the spectrum response or critical speed of the vehicle and the forces in the form of moments and shear forces. ABSTRAK Struktur perkerasaan kaku banyak dijumpai pada bangunan industrial khususnya pada struktur jalan. Sebagian besar kendaraan yang melintas pada jalan ini adalah kendaraan berat seperti truk dengan beban berat. Jadi, insinyur harus mendesain dengan tepat sehingga struktur ini dapat memenuhi syarat kekuatan maupun lendutan. Analisis dinamik perkerasan kaku dalam tesis ini dimodelkan sebagai pelat beton dengan kondisi batas semua tepi pelat memiliki tumpuan semi rigid dan di atas media tanah dengan model pondasi Pasternak yang memiliki dukungan pegas vertikal elastis dan lapisan geser menerus di bawahnya. Beban transversal yang melintasi permukaan pelat berupa beban dinamik yang memiliki kecepatan awal serta percepatan tetap. Beban dimodelkan sebagai beban terpusat sumbu tunggal ekuivalen dengan variasi jenis kendaraan seperti: Colt Diesel Double (CDD) Los Bak, Colt Diesel Double (CDD) Long Box, dan Colt Diesel Double (CDD) Bak. Dalam penelitian ini juga akan dilakukan analisis berbagai jenis parameter antara lain nilai koefisien kendaraan, nilai ratio redaman (damping ratio), dan berbagai kondisi tanah pendukung yaitu tanah lunak, tanah sedang, dan tanah keras. Penyelesaian masalah dinamika pelat dengan kondisi semi rigid menggunakan Modified Bolotin Method (MBM) dengan bantuan dua persamaan transendental. Pemecahan fungsi beban dinamik ini menggunakan bantuan sifat-sifat khusus fungsi Dirac-delta. Analisis dilakukan ketika beban berada di atas pelat (0 ≤ t ≤ t0) dengan hasil akhir yang didapat adalah respon spektrum atau kecepetan kritis kendaraan serta gaya-gaya dalam berupa momen dan gaya geser.

scholarly journals Seismic Analysis of Circular Elevated Water Tank Designed by Indian Standard and European Standard Code

2021 ◽  
Vol 9 (10) ◽  
pp. 1638-1641
Author(s):  
Siddhnath Verma
Keyword(s):  
Soft Soil ◽  
Soil Conditions ◽  
Water Tank ◽  
Base Shear ◽  
European Standard ◽  
Soil Medium ◽  
Seismic Zones ◽  
Standard Code ◽  
Hard Soil ◽  
Elevated Water

Abstract: Elevated water tank is used for storage of water which is used for distribution to the public at certain pressure head. In high seismic zones the safety of water tank becomes point of great concern which in case of failure becomes very hazardous for public because of deficiency of water for public use and difficulty in putting fire away caused by earthquake. The water tank must be designed as much strong so that it can perform during and after earthquake without failing. The aim of this study is to design the elevated water tank as per Indian standard code and European standard code on ETABS software. In this study an elevated circular water tank of 35 m3 capacity is being designed in seismic zone III as per IS code and spectrum zone II as per Euro code for hard soil, medium soil and soft soil conditions. During analysis of tank the values of base moment, base shear, storey displacement and storey drift is being obtained and compared in both seismic zones for hard soil, medium soil and soft soil. Keywords: base shear, base moment, ETABS, elevated water tank.

scholarly journals Seismic Analysis of Circular Water Tank Designed by Indian Standard Code and Euro Code

2021 ◽  
Vol 9 (10) ◽  
pp. 635-638
Author(s):  
Siddhnath Verma
Keyword(s):  
Seismic Analysis ◽  
Soft Soil ◽  
Soil Conditions ◽  
Water Tank ◽  
Base Shear ◽  
Seismic Behaviour ◽  
Soil Medium ◽  
Standard Code ◽  
Elevated Water ◽  
Water Tanks

Abstract: Water tanks are widely used for storage of drinking water. Water tanks and especially the elevated water tanks are structures of high importance which are considered as main lifeline elements that should be capable of keeping the expected performance i.e. operation during and after earthquakes. In this research paper, the analysis of the seismic behaviour of the elevated circular water tank by Indian standard code and Euro code is carried being carried out. The analysis is carried out on 35 cubic meter capacity elevated circular water tank in zone III and spectrum zone II and on three different soil conditions i.e. hard soil, medium soil and soft soil using ETABS software as per Indian standard code and European standard code. The results of base shear, base moment, storey displacement and storey drift are obtained from both codal provisions. Keywords: Elevated water tank, Seismic response, Etabs, Base shear, Base moment

Dirac delta regularization

2020 ◽  
Author(s):  
Matheus Pereira Lobo
Keyword(s):  
Delta Function ◽  
Dirac Delta Function ◽  
Dirac Delta ◽  
Finite Result

I present a finite result for the Dirac delta "function."

scholarly journals Checking the site categorization criteria and amplification factors of the 2021 draft of Eurocode 8 Part 1–1

2021 ◽  
Author(s):  
Roberto Paolucci ◽  
Mauro Aimar ◽  
Andrea Ciancimino ◽  
Marco Dotti ◽  
Sebastiano Foti ◽  
...  
Keyword(s):  
Numerical Simulations ◽  
Shear Wave ◽  
Ground Motion ◽  
Shear Wave Velocity ◽  
Soft Soil ◽  
Site Amplification ◽  
Soil Conditions ◽  
Eurocode 8 ◽  
Site Specific ◽  
Amplification Factors

AbstractIn this paper the site categorization criteria and the corresponding site amplification factors proposed in the 2021 draft of Part 1 of Eurocode 8 (2021-draft, CEN/TC250/SC8 Working Draft N1017) are first introduced and compared with the current version of Eurocode 8, as well as with site amplification factors from recent empirical ground motion prediction equations. Afterwards, these values are checked by two approaches. First, a wide dataset of strong motion records is built, where recording stations are classified according to 2021-draft, and the spectral amplifications are empirically estimated computing the site-to-site residuals from regional and global ground motion models for reference rock conditions. Second, a comprehensive parametric numerical study of one-dimensional (1D) site amplification is carried out, based on randomly generated shear-wave velocity profiles, classified according to the new criteria. A reasonably good agreement is found by both approaches. The most relevant discrepancies occur for the shallow soft soil conditions (soil category E) that, owing to the complex interaction of shear wave velocity, soil deposit thickness and frequency range of the excitation, show the largest scatter both in terms of records and of 1D numerical simulations. Furthermore, 1D numerical simulations for soft soil conditions tend to provide lower site amplification factors than 2021-draft, as well as lower than the corresponding site-to-site residuals from records, because of higher impact of non-linear (NL) site effects in the simulations. A site-specific study on NL effects at three KiK-net stations with a significantly large amount of high-intensity recorded ground motions gives support to the 2021-draft NL reduction factors, although the very limited number of recording stations allowing such analysis prevents deriving more general implications. In the presence of such controversial arguments, it is reasonable that a standard should adopt a prudent solution, with a limited reduction of the site amplification factors to account for NL soil response, while leaving the possibility to carry out site-specific estimations of such factors when sufficient information is available to model the ground strain dependency of local soil properties.

scholarly journals Motion blur invariant for estimating motion parameters of medical ultrasound images

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Barmak Honarvar Shakibaei Asli ◽  
Yifan Zhao ◽  
John Ahmet Erkoyuncu
Keyword(s):  
Image Quality Assessment ◽  
Medical Image Analysis ◽  
Main Idea ◽  
Delta Function ◽  
Motion Blur ◽  
Ultrasound Images ◽  
Medical Ultrasound ◽  
Fetal Ultrasound ◽  
Dirac Delta ◽  
Motion Parameters

AbstractHigh-quality medical ultrasound imaging is definitely concerning motion blur, while medical image analysis requires motionless and accurate data acquired by sonographers. The main idea of this paper is to establish some motion blur invariant in both frequency and moment domain to estimate the motion parameters of ultrasound images. We propose a discrete model of point spread function of motion blur convolution based on the Dirac delta function to simplify the analysis of motion invariant in frequency and moment domain. This model paves the way for estimating the motion angle and length in terms of the proposed invariant features. In this research, the performance of the proposed schemes is compared with other state-of-the-art existing methods of image deblurring. The experimental study performs using fetal phantom images and clinical fetal ultrasound images as well as breast scans. Moreover, to validate the accuracy of the proposed experimental framework, we apply two image quality assessment methods as no-reference and full-reference to show the robustness of the proposed algorithms compared to the well-known approaches.

Direct Fourier migration for vertical velocity variations

Geophysics ◽  
2001 ◽  
Vol 66 (5) ◽  
pp. 1504-1514 ◽  
Author(s):  
Gary F. Margrave
Keyword(s):  
Phase Shift ◽  
Vertical Velocity ◽  
Constant Velocity ◽  
Delta Function ◽  
Fourier Domain ◽  
Input Frequency ◽  
Output Frequency ◽  
Dirac Delta ◽  
Change Of Variables ◽  
Velocity Variations

The Stolt f‐x migration algorithm is a direct (i.e. nonrecursive) Fourier‐domain technique based on a change of variables, or equivalently a mapping, that converts the unmigrated spectrum to the migrated spectrum. The algorithm is simple and efficient but limited to constant velocity. A v(z) f‐k migration method, capable of very high accuracy for vertical velocity variations, can be formulated as a nonstationary filter that avoids the change of variables. The result is a direct Fourier‐domain process that, for each wavenumber, applies a nonstationary migration filter to a vector of input frequency samples to create a vector of output frequency samples. The filter matrix is analytically specified in the mixed domain of input frequency and migrated time. It can be moved to the full‐Fourier domain of input frequency and output frequency by a fast Fourier transform. When applied for constant velocity, the v(z) f‐k algorithm is slower than the Stolt method but without the usual artifacts related to complex‐valued frequency‐domain interpolation. Vertical velocity variations, through an rms‐velocity (straight‐ray) assumption, are handled by the v(z) f‐k method with no additional cost. Greater accuracy at slight additional expense is obtained by extending the method to a WKBJ phase‐shift integral. This has the same accuracy as recursive phase shift and is similar in cost. For constant velocity, the full‐Fourier domain migration filter is a discrete approximation to a Dirac delta function whose singularity tracks along a hyperbola determined by the migration velocity. For variable velocity, the migration filter has significant energy between hyperbolic trajectories determined by the minimum and maximum instantaneous velocities. The full‐Fourier domain offers interesting conceptual parallels to Stolt’s algorithm. However, unless a more efficient method of calculating the Fourier filter matrix can be found, the mixed‐domain method will be faster. The mixed‐domain nonstationary filter moves the input data from the Fourier domain to the migrated time domain as it migrates. It is faster because the migration filter is known analytically in the mixed domain.

scholarly journals Electromagnetic Waves Through Disordered Systems: Comparison of Intensity, Transmission and Conductance

2001 ◽  
Vol 694 ◽  
Author(s):  
Fredy R Zypman ◽  
Gabriel Cwilich
Keyword(s):  
Probability Distribution ◽  
Disordered Systems ◽  
Electromagnetic Waves ◽  
Delta Function ◽  
Rayleigh Distribution ◽  
Dirac Delta Function ◽  
Universal Form ◽  
Dirac Delta ◽  
Diffusive Regime ◽  
Analytical Expressions

AbstractWe obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities x, follow a universal form, YU(x) = xne−xμ. This family of functions includes the Rayleigh distribution (when α=0, μ=1) and the Dirac delta function (α →+ ∞), which are the expressions for intensity and transmission in the diffusive regime neglecting correlations. Finally, we find simple analytical expressions for the nth moment of the distributions and for to the ratio of the moments of the intensity and transmission, which generalizes the n! result valid in the previous case.

All about the dirac delta function(?)

Resonance ◽  
2003 ◽  
Vol 8 (8) ◽  
pp. 48-58 ◽  
Author(s):  
V Balakrishnan
Keyword(s):  
Delta Function ◽  
Dirac Delta Function ◽  
Dirac Delta
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