The principle of virtual work and the third order wave on continua with second order constitutive equations
The generalized form of the principle of virtual work is obtained, when the virtual work is considered as a time integral of virtual power. The corresponding this form Euler – Lagrange equation includes the divergence of the Lie derivative of stress. So, the equation of motion on the stress rate fi...
Saved in:
| Published in: | Прикладная механика |
|---|---|
| Date: | 2010 |
| Main Author: | Beda, G. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут механіки ім. С.П. Тимошенка НАН України
2010
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/95446 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The principle of virtual work and the third order wave on continua with second order constitutive equations / G. Beda // Прикладная механика. — 2010. — Т. 46, № 10. — С. 136-143. — Бібліогр.: 16 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
On the periodic solutions of the second-order wave equations. V
by: Mitropolskiy, Yu. A., et al.
Published: (1993)
by: Mitropolskiy, Yu. A., et al.
Published: (1993)
On periodic solutions of wave second order equations. IV
by: Mitropolsky , Yu. A., et al.
Published: (1988)
by: Mitropolsky , Yu. A., et al.
Published: (1988)
On the theory of the third-order equation with multiple characteristics containing the second time derivative
by: Apakov, Yu. P., et al.
Published: (2010)
by: Apakov, Yu. P., et al.
Published: (2010)
The third-order differential equation with the turning point
by: V. Bolilyi, et al.
Published: (2022)
by: V. Bolilyi, et al.
Published: (2022)
Third order variational equation for the relativistic top
by: R. Matsiuk
Published: (2014)
by: R. Matsiuk
Published: (2014)
Cohort and Period Fertility by Second and Third Birth Orders in Ukraine
by: I. O. Kurylo
Published: (2018)
by: I. O. Kurylo
Published: (2018)
Phragmen-Lindelof Principle for Some Quasilinear Evolution Equations of the Second Order
by: Sleptsova, I. P., et al.
Published: (2005)
by: Sleptsova, I. P., et al.
Published: (2005)
On the averaging principle for hyperbolic second order equations with a functionally disturbed argument
by: Korenevsky, D. G., et al.
Published: (1971)
by: Korenevsky, D. G., et al.
Published: (1971)
On solvability of one class of third order differential equations
by: B. T. Bilalov, et al.
Published: (2021)
by: B. T. Bilalov, et al.
Published: (2021)
Asymptotic representations for nonlinear third order differential equations
by: N. V. Sharaj, et al.
Published: (2015)
by: N. V. Sharaj, et al.
Published: (2015)
On solvability of one class of third order differential equations
by: Bilalov, B. T., et al.
Published: (2021)
by: Bilalov, B. T., et al.
Published: (2021)
Constitutionality and the special legal order
by: F. Gбrdos-Orosz, et al.
Published: (2022)
by: F. Gбrdos-Orosz, et al.
Published: (2022)
On the Nth diameters of continua
by: Bakhtin, A. K., et al.
Published: (1994)
by: Bakhtin, A. K., et al.
Published: (1994)
Construction of periodical solutions of the wave differential and integral-differential second order equations
by: Gromyak, M. I., et al.
Published: (1987)
by: Gromyak, M. I., et al.
Published: (1987)
Third boundary-value problem for a third-order differential equation with multiple characteristics
by: Ju. P. Apakov, et al.
Published: (2018)
by: Ju. P. Apakov, et al.
Published: (2018)
Third boundary-value problem for a third-order differential
equation with multiple characteristics
by: Apakov, Yu. P., et al.
Published: (2018)
by: Apakov, Yu. P., et al.
Published: (2018)
On the initial boundary-value problem for the integro-differential equation of third order
by: A. T. Asanova, et al.
Published: (2019)
by: A. T. Asanova, et al.
Published: (2019)
On the Linearization of Second-Order Differential and Difference Equations
by: Dorodnitsyn, V.
Published: (2006)
by: Dorodnitsyn, V.
Published: (2006)
On estimates of solutions of differential equations of the second order
by: Krasnoselsky, M. A., et al.
Published: (1966)
by: Krasnoselsky, M. A., et al.
Published: (1966)
Asymptotic behavior of solutions of a third order nonlinear differential equation
by: Graef, J.R., et al.
Published: (2017)
by: Graef, J.R., et al.
Published: (2017)
Asymptotic behavior of solutions of a third order nonlinear differential equation
by: J. R. Graef, et al.
Published: (2017)
by: J. R. Graef, et al.
Published: (2017)
On the bounded solutions of a second-order difference equation
by: M. F. Horodnii, et al.
Published: (2019)
by: M. F. Horodnii, et al.
Published: (2019)
On finding stability and instability regions of one differential equation of the third order with periodic coefficients
by: Los, G. A., et al.
Published: (1966)
by: Los, G. A., et al.
Published: (1966)
Asymptotic behavior of solutions of third-order differential equations with rapidly varying nonlinearity
by: V. M. Yevtukhov, et al.
Published: (2022)
by: V. M. Yevtukhov, et al.
Published: (2022)
Modular Ordinary Differential Equations on SL(2, ℤ) of Third Order and Applications
by: Chen, Zhijie, et al.
Published: (2022)
by: Chen, Zhijie, et al.
Published: (2022)
On the Behavior of Solutions of a Third-Order Nonlinear Dynamic Equation on Time Scales
by: M. T. Şenel
Published: (2013)
by: M. T. Şenel
Published: (2013)
On the number of zeros of oscillating solutions to third and fourth order equations with power nonlinearity
by: I. V. Astashova, et al.
Published: (2014)
by: I. V. Astashova, et al.
Published: (2014)
Periodic boundary-value problem for third-order linear functional differential equations
by: Hakl, R.
Published: (2008)
by: Hakl, R.
Published: (2008)
On the Behavior of Solutions of a Third-Order Nonlinear Dynamic Equation on Time Scales
by: Şenel, M.T.
Published: (2013)
by: Şenel, M.T.
Published: (2013)
On the Behavior of Solutions of a Third-Order Nonlinear Dynamic Equation on Time Scales
by: Şenel, M. T., et al.
Published: (2013)
by: Şenel, M. T., et al.
Published: (2013)
Periodic boundary-value problem for third-order linear functional differential equations
by: Hakl, R., et al.
Published: (2008)
by: Hakl, R., et al.
Published: (2008)
Boundary-value problem for a mixed parabolic-hyperbolic equation of the third order
by: Eleev, V. A., et al.
Published: (1995)
by: Eleev, V. A., et al.
Published: (1995)
Asymptotic behavior of solutions of third-order differential equations with rapidly varying nonlinearity:
by: Evtukhov, V. M., et al.
Published: (2022)
by: Evtukhov, V. M., et al.
Published: (2022)
Features of third-order optical nonlinearity in carbon disulfide
by: L. V. Poperenko, et al.
Published: (2019)
by: L. V. Poperenko, et al.
Published: (2019)
Supplemented spaces of the functions on the Peano continua
by: Bazilevich , L. E., et al.
Published: (1992)
by: Bazilevich , L. E., et al.
Published: (1992)
Features of third-order optical nonlinearity in carbon disulfide
by: Poperenko, L.V., et al.
Published: (2019)
by: Poperenko, L.V., et al.
Published: (2019)
Polynomial quasisolutions of linear second-order differential-difference equations
by: Ermolaeva, P. G., et al.
Published: (2008)
by: Ermolaeva, P. G., et al.
Published: (2008)
On definition of coefficient of the lowest term in the multidimensional second order hyperbolic equation
by: G. G. Ismailova
Published: (2019)
by: G. G. Ismailova
Published: (2019)
On the Boundary Value Problem with the Operator in Boundary Conditions for the Operator-Differential Equation of the Third Order
by: Aliev, A.R., et al.
Published: (2010)
by: Aliev, A.R., et al.
Published: (2010)
General Boundary Value Problem for the Third Order Linear Differential Equation of Composite Type
by: Gharehgheshlaghi, A.D., et al.
Published: (2012)
by: Gharehgheshlaghi, A.D., et al.
Published: (2012)
Similar Items
-
On the periodic solutions of the second-order wave equations. V
by: Mitropolskiy, Yu. A., et al.
Published: (1993) -
On periodic solutions of wave second order equations. IV
by: Mitropolsky , Yu. A., et al.
Published: (1988) -
On the theory of the third-order equation with multiple characteristics containing the second time derivative
by: Apakov, Yu. P., et al.
Published: (2010) -
The third-order differential equation with the turning point
by: V. Bolilyi, et al.
Published: (2022) -
Third order variational equation for the relativistic top
by: R. Matsiuk
Published: (2014)