Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userThe generalization of Beltrami – Michell equations of Hooke elastic body to its dynamic state in a curve coordinate system
تعميم معادلات بيلترامي-ميشيل إلى الحالة التحريكية لجسم هوك المرن في نظتم احداثي منحني كيفي
859
1 2
0
(
0
)
Added by
Aِl-Baath University ورقة بحثية
Publication date
2014
fields
Mathematics
and research's language is
العربية
Created by
Shamra Editor
Ask ChatGPT about the research
يتعلق البحث بالنموذج الرياضي لجسم مرن إيزوتروبي (موحد خواص المرونة) و متجانس، و مهمل البنية الجزيئية و يعاني من تشوهات مرنة، في إطار النظرية الخطية للمرونة التقليدية، و الموضوع من قبل الباحث Hooke و الذي يُرمز له اختصارا ب (H).
This paper concerns the mathematical, linear model of elastic, homogeneous and isotropic body, with neglected structure and small elastic deformations, in the frame of linear theory of elasticity; proposed by Hooke, and shortly called (H).
References used
(E. Sternberg and R.A.Eubanks, On stress functions for elastokinetics and the integration of the repeated wave equation , Quart. Appl.Math.2. 15 (1937
(J. Ignaczak , Direct determination of stresses from the stress equations of motion elasticity, Arch. Mech. Stos. 5 , 9 (1959
W. Nowocki , Theory of Elasticity , PWN Warsaw 1970
rate research
Read More
This paper concerns the mathematical, linear model of elastic,
homogeneous and isotropic body, of neglected structure and of
small elastic deformations in the frame of linear theory of elasticity; proposed by Hooke, and shortly called (H). In this
paper, first, we write the displacement Lame equations for (H) elastic body, which initial configuration is unbounded, simply connected region in 3 R .Next, by using Stocks-Helmholtz theorem, we discuss the Nowacki's potential equations for the (H) elastic body. Then, we demonstrate the resulting equations from Lame equations for the displacement amplitudes, when the displacements and body loads varying harmonically in time. We, also demonstrate the resulting equations from the Nowacki's potential equations for the Nowacki's potential amplitudes, in the case when the Nowacki's potentials and body loads varying harmonically in time. Next, after demonstrating tow important theorems, giving volume-surface integral transforms
for Helmholtz differential operators, we derive an integral representations for the solutions of the nonhomogeneous Nowacki's potential equations, all these in form of surface integrals on the boundary of tow-order connected region, occupied by a part of the body, in the initial moment. Then, we discuss the asymptotic conditions of Sommerfeld type for the above mentioned solutions (which relate to the nonzero body loads varying harmonically in time), when the external surface of the tow-order connected region tends to the infinity. Finally, we end this paper by some important open problems.
This paper relates to the mathematical, linear model of elastic,
homogeneous and isotropic body of neglected structure and
infinitesimal elastic deformations in the linear theory of elasticity;
proposed by Hooke, and shortly called (H).
This paper concerns the mathematical, linear model of micropolar
elastic, homogeneous and isotropic body, of axisymetric state of
small deformations, in the frame of the linear theory of micropolar
elasticity with six material constants . In the p
aper, first
we introduce the dynamic displacements-rotation-temperature
equations for the considerable body in the axisymetric state of
small deformation , subjected to temperature field.
الجسم المرن البلوري ذو انفعالات صغيرة متناظرة محوريا و خاضع لحرارة
تركيب معادلات الإزاحات و الدورانات و الحرارة
الحلول الشاذة
Micropolar elastic body of axisymetric state of small deformations and subjected to temperature field
decomposing the dynamical displacements-rotationstemperature equations
singular solutions
This paper concerns the mathematical model of Ignaczak type for
the Eringen-Nowacki micropolar elastic body of six material
constants, coupled with temperature fields, and initially occupying
a bounded simply connected region in R3.
In this paper, we use domain generalization to improve the performance of the cross-device speaker verification system. Based on a trainable speaker verification system, we use domain generalization algorithms to fine-tune the model parameters. First
, we use the VoxCeleb2 dataset to train ECAPA-TDNN as a baseline model. Then, use the CHT-TDSV dataset and the following domain generalization algorithms to fine-tune it: DANN, CDNN, Deep CORAL. Our proposed system tests 10 different scenarios in the NSYSU-TDSV dataset, including a single device and multiple devices. Finally, in the scenario of multiple devices, the best equal error rate decreased from 18.39 in the baseline to 8.84. Successfully achieved cross-device identification on the speaker verification system.
suggested questions
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
