## About

22

Publications

10,158

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110

Citations

Citations since 2017

## Publications

Publications (22)

This article focuses on elastic stability analysis of battened columns and laced columns with crosswise, fir-shaped, and serpentine lattices. The columns are considered as static indeterminate systems. The buckling problem of the column is formulated as a two-point boundary-value problem for a system of recurrence relations between displacements of...

Elastic large deflections of a clamped circular plate subjected to uniform normal pressure are governed by a system of ordinary nonlinear differential equations of the fifth order, which are obtained from the well-known von Karman equations. The solution of the system must satisfy the given boundary conditions at the center and edge of the plate. A...

Solving of nonlinear algebraic equations is an obligatory stage of studying the equilibrium paths of nonlinear deformable systems. The iterative method for solving a system of nonlinear algebraic equations stated in an explicit or implicit form is developed in the present work. The method consists of constructing a sequence of polygons in Euclidean...

It is known that elastic large deflections of thin plates are governed by von Karman nonlinear equations. The analytical solution of these equations in the general case is unfeasible. Samuel Levy, in 1942, showed that large deflections of the rectangular plate can be expressed as a double series of sine-shaped harmonics (deflection harmonics). Howe...

Motion of the hoisting rope carrying an intermediate concentrated load is described by the one-dimensional wave equation in the region consisting of two sections separated by a moving boundary condition. The system is moved by the driving force acting at the upper cross section of the rope. Position of the intermediate load and consequently the len...

Solving the buckling problem for a battened column as a statically indeterminate structure yields a Euler critical load that is significantly higher than the buckling load being obtained on the basis of Engesser's assumption. The stability problem is reduced to numerically solving a two-point boundary value problem for a system of recurrence relati...

The problem of motion of the rope of variable length consists of solving the boundary value problem with a variable boundary for the one-dimensional wave equation. A change of the rope length is caused by the force acting at the upper cross section of the rope. Studying the wave propagation process along the rope is based on the known integro-diffe...

INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
Int. J. Numer. Anal. Meth. Geomech. (2010)
Published online in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/nag.939
Letter to the Editor
Response to the criticism of the paper ‘Slope stability analysis
based on the direct comparison of driving forces and
res...

In contrast to the technique accepted in existing design specifications, a slenderness ratio for laced columns with serpentine or crosswise lattices is determined as a result of consideration of the laced column as a statically indeterminate structure. Recent results of solving the buckling problem for laced columns, on the one hand, and the well k...

Unlike the technique accepted in existing design specifications, the buckling problem of a laced column with a serpentine lattice is formulated as a stability problem of a statically indeterminate structure. The problem is reduced to a two-point boundary value problem for a system of recurrence dependences relating the deformation parameters of col...

Solving the non-linear boundary value problem that governs the equilibrium state of a deformable system is reduced to solving a sequence of linear boundary value problems for partial derivatives of unknown functions with respect to the load parameter These linear problems describe a change of the solution of the non-linear problem when the load par...

The paper disproves a commonly accepted concept that the slope stability problem cannot be correctly solved without invoking the auxiliary static assumptions. The given slope stability analysis is based on the direct comparison of the driving force tending to induce a movement of the slope mass and the mobilized resisting force. A problem of separa...

Solving the flexural buckling problem of a laced column as a statically indeterminate system is reduced to the two-point boundary value problem for a difference equation system that comprises recurrence relations between the displacements and the force parameters of column cross-sections passing through the lattice joints. The critical force for a...

Every professional, in particular a structural engineer, is interested in computer-aided archiving the data entities related to his area of a professional activity. In computerized information systems, the most widespread way of describing data entities and relations between them in an application domain consists in using knowledge representation l...

The paper presents a method of solving the buckling problem of laced column as a statically indeterminate structure without analyzing determinants of high order. The flexural and torsional buckling problems of laced column are reduced to the two-point boundary value problem for a difference equation system. The value of Euler critical load is deter...

The paper presents a new approach for the analysis of slope stability that is based on the numerical solution of a differential equation, which describes the thrust force distribution within the potential sliding mass. It is based on the evaluation of the thrust force value at the endpoint of the slip line. A coupled approximation of the slip and t...

The problem of moving the hoisting machine is to solve a boundary value problem for a mechanical system formed by an elastic wire run over the drum. Concentrated masses are suspended in the lower sections of both wire branches. The drum rotates from external torque. The use of the well-known integral-differential relation allows to reduce the integ...

The solution of a nonlinear programming problem is reduced to integration of a system of differential equations describing the trajectory of descent along a dominating restriction in the state space. A class of problems that can be solved by this method is exhibited.

## Projects

Projects (3)

All Dear Colleagues – Collaborators and Their Laboratories are invited to attach to this project Their old, new, and future works or messages about "Stability of Structures under their Own Weight" what takes under consideration the stability of buildings, towers, domes, bridges, hills, slopes, dams, ... et cetera ... , and stability under own weight of columns, beams, plates, cones, ... et cetera ... , as well as designing and vulnerability of structures under dynamic, seismic, earthquake loading.
... if any RSGate Member wants to be added to the project as the Collaborator (at least a co/authorship of one work about the "Stability of Structures under their Own Weight" would be required), He needs to be a follower of a Member ... , sorry ... , but in another way, the system of the project doesn't recognize Him, and He can't be added ... ,
... if any Dear Colleague–Collaborator of the Project wants to add other Colleagues, which work on the stability (at least the co/authorship of one work about the stability would be required) ... - don't hesitate to invite them ...
The main rules of our Project are as follows:
1. every Colleague–Collaborator of our Project should attach at least 1 work about "Stability of Structures under their Own Weight" or a message about it,
2. every Colleague–Collaborator of our Project should follow each other,
3. every Colleague–Collaborator of our Project should read and recommend, if only would be so possibility regarding a scientific level of researches, all works with each other,
4. every Colleague–Collaborator of our Project should comment works to each other if only would be a reason to do that - comments naturally may be critical but with respect to authors,
5. every Colleague–Collaborator of our Project should cite each other - if only would be so possibility regarding research works of each one, i.e. in every new work attached to our Project should be cited a big number, e.g. 100 works of Collaborators of our Project,
6. every Colleague–Collaborator of our Project should collaborate and write common (with the Collaborators as co-authors) papers, books, ... and other kinds of works, if only would be so possibility,
7. if any Colleague–Collaborator of our Project has a possibility to help to publish works (e.g. as a member of a scientific journal or publishing house editorial board) should give massage about it in the "goal of the project" or in "updates" in our Project,
8. if any Colleague–Collaborator knows about a conference with "Stability of Structures under their Own Weight" as a panel or topic - He should inform us in the "goal of the project" or in "updates" in our Project ...
I hope that the above rules of our Project would help us to get success in our scientific work ... , every one of us would like that His work would be noted, read, recommended, commented, discussed, and cited ... , but somebody should do that ...
Simultaneously I would like to note that renunciation of the rules of the Project, can be taken by other Collaborators as kind of dishonesty, especially when a Collaborator would like to obtain a lot of "Reads", "Recommendations" and "Citations", but self doesn't take any so activity ...
The all Dear Colleagues – Collaborators are invited to be added to the Stability of Structures’s Lab regarding the rules of the Lab:
https://www.researchgate.net/lab/Stability-of-Structuress-Lab-Krzysztof-Murawski
Faithfully Yours
Krzysztof Murawski

All Dear Colleagues – Collaborators and Their Laboratories are invited to attach to this project Their old, new and future works or messages about Stability of Structures, especially: buckling, wrinkling, crimpling, crumpling ... and their energy absorption as well as about dynamic stability, slope stability .. of axially and non-axially loaded structures like columns, tubes, pipes, beams, plates, boxes, tanks, silos, pales, poles, pillars, conical shells, thin-walled structures as well as nanostructures, foams, gels.. et cetera .. made of metals, wood, plywood, bamboo, bones, composite, laminate, glass, ceramic, gypsum, concrete, rock, brick .. et cetera ..
If any RSGate Member wants to be added to the project as the Collaborator (at least a co/authorship of one work about the stability and following of 50 Members of the Project would be required), He needs to be a follower of a member of the project ... , sorry ... , but in another way, the system of the project doesn't recognize Him, and He can't be added ...
Naturally, all Dear Colleagues–Collaborators are asked to add every Colleague, which works on the stability (at least the co/authorship of one work about the stability and following of 50 Members of the Project would be required) ... - and don't hesitate to invite them ...
Dear Colleagues–Collaborators, I would like to thank You very much for Your current engagement in our Project, but let me allow to remind You what does mean "Collaboration" in the case of our Project, i.e.:
1. every Colleague–Collaborator of our Project should attach at least 1 work about "Stability of Structures" or a message about it,
2. every Colleague–Collaborator of our Project should follow each other (at least 50 Members of the Project),
3. every Colleague–Collaborator of our Project should read and recommend, if only would be so possibility regarding a scientific level of researches, all works with each other,
4. every Colleague–Collaborator of our Project should comment works to each other if only would be a reason to do that - comments naturally may be critical but with respect to authors,
5. every Colleague–Collaborator of our Project should cite each other - if only would be so possibility regarding research works of each one, i.e. in every new work attached to our Project should be cited a big number, e.g. 100 (a minimum number: 50) works of Collaborators of our Project,
6. every Colleague–Collaborator of our Project should collaborate and write common (with the Collaborators as co-authors) papers, books, ... and other kinds of works, if only would be so possibility,
7. if any Colleague–Collaborator of our Project has a possibility to help to publish works about "Stability of Structures" (e.g. as a member of a scientific journal or publishing house editorial board) should give massage about it in the "goal of the project" or in "updates" in our Project,
8. if any Colleague–Collaborator knows about a conference with "Stability of Structures" as a panel or topic - He should inform us in the "goal of the project" or in "updates" in our Project ...
I hope that the above rules of our Project would help us to get success in our scientific work ... , every one of us would like that His work would be noted, read, recommended, commented, discussed, and cited ... , but somebody should do that ...
Simultaneously I would like to note that renunciation of the rules of the Project, can be taken by other Collaborators as a kind of dishonesty, especially when a Collaborator would like to obtain a lot of "Reads", "Recommendations" and "Citations", but self doesn't take any so activity .

All Dear Colleagues – Collaborators and Their Laboratories are invited to attach to this project Their old, new, and future works or messages about "Stability analysis in elastic states of very slender columns" ...
... if any RSGate Member wants to be added to the project as the Collaborator (at least a co/authorship of one work about the "Stability Analysis in Elastic States of Very Slender Columns" and following of 30 Members of the Project would be required), He needs to be a follower of a member ... , sorry ... , but in another way, the system of the project doesn't recognize Him, and He can't be added ... ,
... if any Dear Colleague–Collaborator of the Project wants to add other Colleagues, which work on the stability (at least the co/authorship of one work about the stability and following of 30 Members of the Project would be required) ... - don't hesitate to invite them ...
The main rules of our Project are as follows:
1. every Colleague–Collaborator of our Project should attach at least 1 work about "Stability Analysis in Elastic States of Very Slender Columns" or a message about it,
2. every Colleague–Collaborator of our Project should follow each other (at least 30 Members of the Project),
3. every Colleague–Collaborator of our Project should read and recommend, if only would be so possibility regarding a scientific level of researches, all works with each other,
4. every Colleague–Collaborator of our Project should comment works to each other if only would be a reason to do that - comments naturally may be critical but with respect to authors,
5. every Colleague–Collaborator of our Project should cite each other - if only would be so possibility regarding research works of each one, i.e. in every new work attached to our Project should be cited a big number, e.g. 100 works of Collaborators of our Project,
6. every Colleague–Collaborator of our Project should collaborate and write common (with the Collaborators as co-authors) papers, books, ... and other kinds of works, if only would be so possibility,
7. if any Colleague–Collaborator of our Project has a possibility to help to publish works (e.g. as a member of a scientific journal or publishing house editorial board) should give a message about it in the "goal of the project" or in "updates" in our Project,
8. if any Colleague–Collaborator knows about a conference with "Stability Analysis in Elastic States of Very Slender Columns" as a panel or topic - He should inform us in the "goal of the project" or in "updates" in our Project ...
I hope that the above rules of our Project would help us to get success in our scientific work ... , every one of us would like that His work would be noted, read, recommended, commented, discussed, and cited ... , but somebody should do that ...
All Dear Colleagues – Collaborators are invited to be added to the Stability of Structures’s Lab regarding the rules of the Lab:
https://www.researchgate.net/lab/Stability-of-Structuress-Lab-Krzysztof-Murawski
Faithfully Yours
Krzysztof Murawski