In this work, we have been found explicit exact soliton wave solutions for Zeldovich
equation with time-dependent coefficients, by using the tanh function method with
nonlinear wave transform, in general case. The results obtained shows that these
exact
solutions are affected the nonlinear nature of the wave variable, it is also shown that this
method is effective and appropriate for solving this kind of nonlinear PDEs, which are
models of many applied problems in physics, chemistry and population evolution.
this paper presents a solution of non-linear viscoelastic bar systems transversal vibrations
problems in presence of biological factor. Governing differential equations were built, then
analytical expressions of the solution of this equations were found, which describe
transversal vibrations of a thin finite length bar
Bridges are important and vital structures that provide communication between
different regions. Due to their importance, their design has had a great attention throughout
the world, as evidenced by the continuous development of seismic design code
s such as
AASHTO, which now adopts the performance-based design, and requires through a set of
requirements and criteria that the bridge performance under the design earthquake is at life
safety (LS) level and thus ensures that it does not collapse. Since most of the local bridges
were built at periods where these criteria were not adopted, it is important to verify their
performance and that they meet these criteria.
In this paper, the seismic performance of an existing bridge, which represents a model
for a wide range of local multi-span simply supported bridges, was evaluated by
developing a 3D model of the bridge using SAP2000V19.1 and applying the nonlinear
static analysis. The results of analysis have been used to verify that the bridge meets the
AASHTO seismic requirements, which include the check of the P-Δ requirement,
displacement demand/ capacity, members (columns) ductility, as well as the check of the
shear demand/capacity of the columns.
The results showed that the performance of the studied bridge under the seismic
intensities adopted in the Syrian code achives the acceptable level which is life safity (LS),
but it exceeds this level under high seismic intensity. The research also showed that there is
compatibility between the results of nonlinear static analysis and AASHTO requirements.
The Akaike information criterion (AIC) is a measure of the relative
quality of statistical models for a given set of data.
The Schwarz
Criterion (SC) is a measure to help in the selection between
candidate models.
Structural Frame system is considers as an earthquake resisting structural
systems. On the other hand, many techniques were used to improve the
resistance against lateral loads. where Steel Plate Shear Wall fixed within
frame span is one of those
techniques.
This research aims to develop the Strip model of Partial Steel Plate Shear
Walls with Reinforced-Concrete Frame with opening parallel to beams.
In this paper, we present approximate solutions for the
Advection equation by finite differences method. In this method we
convert the nonlinear partial differential equation into a system of
nonlinear equations by some finite differences methods.
Then this
system was solved by Newton's method. And we made a program
implementing this algorithm and we checked the program using
some examples, which have exact solutions, then we evaluate our
results. As a conclusion we found that this method gives accurate
results for Advection equation.
In this paper, we study the oscillation and nonoscillation theorems
for second order nonlinear difference equations.
By using some important of definitions and main concepts in
oscillation, in addition for lemmas, we introduce examples
illustrating the relevance of the theorems discussed.
In this paper, we introduce an algorithm to solve the
Advection equation by finite element method. In this method, we
have chosen Three pattern of cubic B-Spline to approximate the
nonlinear solution to convert the nonlinear PDE into a system of
ODE, Then we solved this system equation by SSP-RK54 method,
And we made a program implementing this algorithm and we
checked the program using some examples, which have exact
solutions, then we evaluate our results. As a conclusion we found
that this method gives accurate results for advection equation.
In this article, we propose a powerful method called
homotopy perturbation method (HPM) for obtaining the
analytical solutions for an non-linear system of partial
differential equations. We begin this article by apply HPM
method for an important models of linear and non-linear
partial differential equations.
This paper presents the results of analyzing 17 models with
nonlinear static analysis. The models are 5, 10 and 15-story framewall
structures with Re-entrant corners. The participations of frames
to resist the shear force range between 25% and 60%
.
