Chapter 005, Vibration Analysis


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Chapters in Books

Fryba, J. Naprstek, Structural Dynamics, vol. Nguyen Van Dao and E. Awrejcewicz, S. Lavendalis, M. Zakrzhevsky; Kluwer Academic Publisher, Dordrecht, , Krysko, A. Kowal-Michalska and J. Rhodes, Elsevier Science Ltd, , Balthazar, P. Brasil, I. Caldas, F. Rizatto, Vol. Awrejcewicz, A. Krysko, V. Awrejcewicz, Yu. Pyryev, 'Chaotic motion of the bush situated on the rotating shaft using analytical and numerical methods', in: 'Contemporary Problems of Modal Analysis of Mechanical Designs', Ed. Iu, L. Lamas, Y. Li, K.

Mok, A. Balkema Publishers, , CB - I. Andrianov, J. Krysko, N. Awrejcewicz, G. Kudra, G. Hu, E. Kreuzer, Springer, , Awrejcewicz, D. Weichert, 'Load-transfer from an elastic fibre to isotropic half-space with coating', Modeling, Simulation and Control of Nonlinear Engineering Dynamical System.

State-of-the-Art, Perspectives and Applications, Ed. Jan Awrejcewicz, Springer, , Awrejcewicz, L. Kurpa, O. CB - A. Awrejcewicz, M. Zhigalov, O. Saltykova, 'Analysis of regular and chaotic dynamics of the Euler-Bernoulli beams using finite-difference and finite-element mathods', Modeling, Simulation and Control of Nonlinear Engineering Dynamical System. CB - R. Starosta, J. Visa, Springer, Heidelberg, Grzelczyk, Yu.

Pyryev, 'On a novel dry friction modeling: differential equations computation and Lyapunov exponent estimation', Topics on Chaotic Systems.

2.1.4.2 Resonance of a Transverse Wave

Skiadas, I. Dimotikalis, Ch. CB - V. Zhigalov, V. Soldatov, S. Mitskievitch, E. Kuznetsova, K. Shagivaleev, J. Pietraszkiewicz, I. CB - P. Olejnik, J. Stepan, L. Kovacs, A. Diskovsky, 'Design of the non-homogeneous quasi-regular structures', in: 'Advanced problems in mechanics of heterogeneous media and thin-walled tructures', Eds.

Bolshakov, D. Mrozowski, S. Zagrodny, S. Banasiak, L. Yakushevich, 'Modeling and simulation of biomechanical systems - an orbital cavity, a pelvic bone and coupled DNA bases', in: ' Numerical Analysis - Theory and Application ', Ed. Dzyubak, 'Numerical analysis of a rotor dynamics in the magneto-hydrodynamic field', in: 'Numerical Simulations of Physical and Engineering Processes', Ed. Awrejcewicz, InTech, , Krysko, I.

Papkova, A. Mrozowski, 'On the transitions from periodic to chaotic orbits in continual systems', in: 'Mathematical Methods in Continuum Mechanics', Ed. Michalak, J. Naprstek, J. Horacek, M. Okrouhlik, B. Marvalova, F. Verhulst, J. Sawicki, Springer, , Diskovsky, 'On the optimization problem of an elastic beam support', in: 'Statics, Dynamics and Stability of Structures', vol.

Olevs'kyy, 'Applications of 2D Pade approximants in nonlinear shell theory: stability calculation and experimental justification', in: ' Nonlinearity, Bifurcation and Chaos - Theory and Application ', Ed. Awrejcewicz, P. Awrejcewicz, I. Andrianov, G. Manevitch, M. Mazo, V. Andrianov, V. Danishevs'kyy, J. Awrejcewicz, B. Markert, 'Spatial localization of waves in nonlinear composite materials', in: 'Dynamical Systems - Theory', Eds. Awrejcewicz, R. Starosta, G. Zagniboroda, V. Dobriyan, E. Krylova, I. Papkova, S. Mitskevich, V. Krysko, 'Analysis of nonlinear dynamics of plates and shells using the Lyapunov exponents and wavelets', in: 'Dynamical Systems - Theory', Eds.

Nackenhorst, I. Krysko, 'Nonlinear dynamics and chaotic synchronization of contact interactions of multi-layer beams', in: 'Dynamical Systems - Theory', Eds. Kurpa, T. Shmatko, 'Investigating geometrically nonlinear vibrations of laminated shallow shells with layers of variable thickness via the R-function theory', in: 'Dynamical Systems - Theory', Eds.

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Mazur, 'Dynamical instability of laminated plate with external cutout', in: 'Dynamical Systems - Theory', Eds. Papkova, V. Baiburin, T. Yakovleva, 'Method of relaxation in theory of flexible shells', in: 'Dynamical Systems - Theory', Eds. CB - M. Kudra, J. Wasilewski, 'Numerical and experimental investigations of bifurcational dynamics of an electromechanical system consisting of a physical pendulum and DC motor', in: 'Dynamical Systems - Applications', Eds. Zakharov, T. Yakovleva, V. Ludwicki, J. Kudra, 'Numerical simulation and experimental set-up of an axially excited spatial double physical pendulum', in: 'Dynamical Systems - Applications', Eds.

Lewandowski, 'Mathematical model and numerical simulation of a control system with feedback actuated by a stepper motor', in: 'Dynamical Systems - Applications', Eds. CB - W. Kunikowski, J. Biesiacki, J. Mrozowski, K. Kubiak, A. Szosland, J. Zagrodny, 'Estimation of driver and passenger injuries during a car crash based on the accident reconstruction method', in: 'Dynamical Systems - Applications', Eds.

Parandyk, D. Lewandowski, J. Awrejcewicz, 'Human circulatory system in terms of a closed-loop hydraulic structure', in: 'Dynamical Systems - Applications', Eds. CB - B. Awrejcewicz, 'Modeling, control and computer simulation of a hexapod', in: 'Dynamical Systems - Applications', Eds. Zagrodny, J. Awrejcewicz, 'One and multi-joint muscles cooperation analysis', in: 'Dynamical Systems - Applications', Eds.

Grzelczyk, 'Non-regular dynamics of the 4-DOF mechanical linear sliding guideways system with dry friction', in: 'Dynamical Systems - Applications', Eds. Awrejcewicz, 'Modeling of time delay in numerical solution of an uncertain large-scale system', in: 'Dynamical Systems - Applications', Eds. CB - Y. Lind, J. Kabirova, A. Murzagalin, A. Khasper, 'Use of artificial intelligence methods to solving problems in oil production industry', in: 'Dynamical Systems - Applications', Eds. Gajek, D. Awrejcewicz, 'Mathematical model of a single-dimension multi-parameter oscillator based on a three-phase core-less linear motor', in: 'Dynamical Systems - Applications', Eds.

Dzyubak, 'Influence of piezoelectric hysteresis on the rotor speed characteristics in an ultrasonic motor', in: 'Dynamical Systems - Applications', Eds. Ruchan, A. Krysko, 'Analysis of chaotic parametric vibrations of flexible multi-layer shells', in: 'Dynamical Systems - Applications', Eds. Papkova, T. Yakovleva, N. Zagniboroda, M. Zhigalov, A. Krylova, S. Mitskevich 'Application of the Lyapunov exponents and wavelets to study and control of plates and shells', in: 'Computational and Numerical Simulations', Eds. Yakovleva, 'Non-linear phenomena exhibited by flexible cylindrical and sector shells', in: Applied Non-Linear Dynamical Systems.

Springer Proceedings in Mathematics and Statistics, Springer, , Krysko, E. Mitskievich, I. Zakharov, V. Awrejcewicz, 'Shear waves dispersion in cylindrically structured cancellous viscoelastic bones', in: Applied Non-Linear Dynamical Systems. Matej, J. Awrejcewicz, 'Dynamic properties of two-axle freight wagon with UIC double-link suspension as a non-smooth system with dry friction', in: Applied Non-Linear Dynamical Systems.

Krysko, 'Chaotic vibrations of conical and spherical shells and their control', in: Shell and Membrane Theories in Mechanics and Biology'. Advanced Structures Materials, 45 , Eds. Altenbah, G. Mikhasev, Springer, , Karamuz, P. Awrejcewicz, 'Programming and computer simulation of an experimental station for automatic launching of badminton shuttlecocks', in: Mechatronics - Ideas for Industrial Application, Eds.

Szewczyk, M.

Chapters in Books

Trojnacki, M. Gajek, 'Experimental investigations of stability in a hybrid stepper motor', in: Mechatronics - Ideas for Industrial Application, Eds. Olejnik, D. Kociak, J. Awrejcewicz, 'Analog electronic test board for an estimation of time characteristics of the basic elements of automatic control system', in: Mechatronics - Ideas for Industrial Application, Eds. Parandyk, M.

Ludwicki, B. CB - K. Lewandowski, 'Kinematic analysis of the finger exoskeleton movement in distal and proximal interphalangeal joints', in: Mechatronics - Ideas for Industrial Application, Eds. Jankowski, 'Stress analysis of stiffened cylindrical shells under a static load', in: Mechatronics - Ideas for Industrial Application, Eds. Awrejcewicz, 'Mathematical modeling and parameters identyfication of the mechatronical system used in the constructed hexapod robot', in: Mechatronics - Ideas for Industrial Application, Eds.

Diskovsky, 'Strain analysis and structural optimization of functionally graded rod with small concentration of inclusions', in: 'Dynamical Systems - Mathematical and Numerical Approaches', Eds. Mazo, V. Andrianov, V. Danishevs'kyy, J. Awrejcewicz, B. Markert, 'Spatial localization of waves in nonlinear composite materials', in: 'Dynamical Systems - Theory', Eds.

Awrejcewicz, R. Starosta, G. Zagniboroda, V. Dobriyan, E. Krylova, I. Papkova, S. Mitskevich, V. Krysko, 'Analysis of nonlinear dynamics of plates and shells using the Lyapunov exponents and wavelets', in: 'Dynamical Systems - Theory', Eds. Nackenhorst, I. Krysko, 'Nonlinear dynamics and chaotic synchronization of contact interactions of multi-layer beams', in: 'Dynamical Systems - Theory', Eds. Kurpa, T. Shmatko, 'Investigating geometrically nonlinear vibrations of laminated shallow shells with layers of variable thickness via the R-function theory', in: 'Dynamical Systems - Theory', Eds.

Mazur, 'Dynamical instability of laminated plate with external cutout', in: 'Dynamical Systems - Theory', Eds. Papkova, V. Baiburin, T. Yakovleva, 'Method of relaxation in theory of flexible shells', in: 'Dynamical Systems - Theory', Eds. CB - M. Kudra, J. Wasilewski, 'Numerical and experimental investigations of bifurcational dynamics of an electromechanical system consisting of a physical pendulum and DC motor', in: 'Dynamical Systems - Applications', Eds.

Zakharov, T. Yakovleva, V. Ludwicki, J. Kudra, 'Numerical simulation and experimental set-up of an axially excited spatial double physical pendulum', in: 'Dynamical Systems - Applications', Eds. Lewandowski, 'Mathematical model and numerical simulation of a control system with feedback actuated by a stepper motor', in: 'Dynamical Systems - Applications', Eds.

CB - W. Kunikowski, J. Biesiacki, J. Mrozowski, K. Kubiak, A. Szosland, J.

Zagrodny, 'Estimation of driver and passenger injuries during a car crash based on the accident reconstruction method', in: 'Dynamical Systems - Applications', Eds. Parandyk, D. Lewandowski, J. Awrejcewicz, 'Human circulatory system in terms of a closed-loop hydraulic structure', in: 'Dynamical Systems - Applications', Eds. CB - B. Awrejcewicz, 'Modeling, control and computer simulation of a hexapod', in: 'Dynamical Systems - Applications', Eds. Zagrodny, J. Awrejcewicz, 'One and multi-joint muscles cooperation analysis', in: 'Dynamical Systems - Applications', Eds.

Grzelczyk, 'Non-regular dynamics of the 4-DOF mechanical linear sliding guideways system with dry friction', in: 'Dynamical Systems - Applications', Eds.


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Awrejcewicz, 'Modeling of time delay in numerical solution of an uncertain large-scale system', in: 'Dynamical Systems - Applications', Eds. CB - Y. Lind, J. Kabirova, A. Murzagalin, A. Khasper, 'Use of artificial intelligence methods to solving problems in oil production industry', in: 'Dynamical Systems - Applications', Eds. Gajek, D. Awrejcewicz, 'Mathematical model of a single-dimension multi-parameter oscillator based on a three-phase core-less linear motor', in: 'Dynamical Systems - Applications', Eds.

Dzyubak, 'Influence of piezoelectric hysteresis on the rotor speed characteristics in an ultrasonic motor', in: 'Dynamical Systems - Applications', Eds. Ruchan, A. Krysko, 'Analysis of chaotic parametric vibrations of flexible multi-layer shells', in: 'Dynamical Systems - Applications', Eds. Papkova, T. Yakovleva, N. Zagniboroda, M. Zhigalov, A. Krylova, S. Mitskevich 'Application of the Lyapunov exponents and wavelets to study and control of plates and shells', in: 'Computational and Numerical Simulations', Eds.

Yakovleva, 'Non-linear phenomena exhibited by flexible cylindrical and sector shells', in: Applied Non-Linear Dynamical Systems. Springer Proceedings in Mathematics and Statistics, Springer, , Krysko, E. Mitskievich, I. Zakharov, V. Awrejcewicz, 'Shear waves dispersion in cylindrically structured cancellous viscoelastic bones', in: Applied Non-Linear Dynamical Systems. Matej, J. Awrejcewicz, 'Dynamic properties of two-axle freight wagon with UIC double-link suspension as a non-smooth system with dry friction', in: Applied Non-Linear Dynamical Systems.

Krysko, 'Chaotic vibrations of conical and spherical shells and their control', in: Shell and Membrane Theories in Mechanics and Biology'. Advanced Structures Materials, 45 , Eds. Altenbah, G. Mikhasev, Springer, , Karamuz, P. Awrejcewicz, 'Programming and computer simulation of an experimental station for automatic launching of badminton shuttlecocks', in: Mechatronics - Ideas for Industrial Application, Eds. Szewczyk, M. Trojnacki, M. Gajek, 'Experimental investigations of stability in a hybrid stepper motor', in: Mechatronics - Ideas for Industrial Application, Eds.

Olejnik, D. Kociak, J. Awrejcewicz, 'Analog electronic test board for an estimation of time characteristics of the basic elements of automatic control system', in: Mechatronics - Ideas for Industrial Application, Eds. Parandyk, M. Ludwicki, B. CB - K. Lewandowski, 'Kinematic analysis of the finger exoskeleton movement in distal and proximal interphalangeal joints', in: Mechatronics - Ideas for Industrial Application, Eds.

Jankowski, 'Stress analysis of stiffened cylindrical shells under a static load', in: Mechatronics - Ideas for Industrial Application, Eds. Awrejcewicz, 'Mathematical modeling and parameters identyfication of the mechatronical system used in the constructed hexapod robot', in: Mechatronics - Ideas for Industrial Application, Eds.

Diskovsky, 'Strain analysis and structural optimization of functionally graded rod with small concentration of inclusions', in: 'Dynamical Systems - Mathematical and Numerical Approaches', Eds. Mrozowski, P. Olejnik, TU of Lodz, Lodz, , Shmatko, 'Vibration of functionally-graded shallow shells with complex shape', in: 'Dynamical Systems - Mathematical and Numerical Approaches', Eds.

Nowak, P. Nowak, J. Awrejcewicz, 'Influence of position of an anvil beam on vibrations of collecting electrodes', in: 'Dynamical Systems - Mathematical and Numerical Approaches', Eds. Szewc, I. Wojtunik, G. Awrejcewicz, 'Dynamics simulations of a rigid body lying on a vibrating table with the use of special approximations of the resulting contact forces', in: 'Dynamical Systems - Mathematical and Numerical Approaches', Eds.

CB - S. Tomasiello, J. Awrejcewicz, 'Simulating the damped vibrations of a fractional oscillator with fuzzy initial conditions', in: 'Dynamical Systems - Mathematical and Numerical Approaches', Eds. CB - G. Wasilewski, G. Tyborowski, M. Wojtunik, M. Szewc, G. Awrejcewicz, 'On the clutch dynamics with the approximations of resulting contact forces', in: 'Dynamical Systems - Mathematical and Numerical Approaches', Eds.

Awrejcewicz, W. Wojciech, 'Dynamics of articulated vehicles by means of multibody methods', in: 'Dynamical Systems - Mathematical and Numerical Approaches', Eds. Danishevskyy, B. Markert, 'Internal resonances in nonlinear vibrations of a continuous rod with microstructure', in: 'Dynamical Systems - Control and Stability', Eds. Grzelczyk, J. Awrejcewicz, 'Modelling and numerical simulations a pendulum elastically suspended and driven by frictional contact with a rotating disk', in: 'Dynamical Systems - Control and Stability', Eds. Ludwicki, G. Awrejcewicz, 'Axially excited spatial double pendulum nonlinear dynamics', in: 'Dynamical Systems - Control and Stability', Eds.

Shock and Vibration

Awrejcewicz, 'Mechanical systems with two nonlinear springs connected in series', in: 'Dynamical Systems - Control and Stability', Eds. Markert, G. Starushenko, 'On the vibrations of a composite structure with hexagonal structure of a circular inclusions', in: 'Dynamical Systems - Mechatronics and Life Sciences', Eds. Olejnik, 'Identification of a nonlinear damping coefficient characteristics in the free decay test of a single pendulum with friction', in: 'Dynamical Systems - Mechatronics and Life Sciences', Eds.

Awrejcewicz, 'Study of dynamic forces in human upper limb in forward fall', in: 'Dynamical Systems - Mechatronics and Life Sciences', Eds. Gajek, R.


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  • Vibration Damping Analysis of Lightweight Structures in Machine Tools.
  • Awrejcewicz, 'Mathematical model of a multi-parameter oscillator based on a core-less three-phase linear motor with skewed coils', in: 'Dynamical Systems - Mechatronics and Life Sciences', Eds. CB - D. Grzelczyk, B. Awrejcewicz, 'Power consumption analysis of different hexapod robot gaits', in: 'Dynamical Systems - Mechatronics and Life Sciences', Eds. Lipa, J. Awrejcewicz, 'Analysis of orbital strain and stress caused by multidirectional forces generated during a ball impact', in: 'Dynamical Systems - Mechatronics and Life Sciences', Eds.

    Parandyk, J. Awrejcewicz, 'Numerical analysis of the pressure oscillations in the human circulatory based on nonlinear hydro-mechanical system', in: 'Dynamical Systems - Mechatronics and Life Sciences', Eds. Szymkiewicz, O. Szymanowska, D. Awrejcewicz, 'Hydraulic unit of rotation into linear motion conversion — design, model, construction and testing', in: 'Dynamical Systems - Mechatronics and Life Sciences', Eds.

    Wijata, J. Matej, M. Makowski, 'Mathematical model for two-dimensional dry friction modified by dither', in: 'Dynamical Systems - Mechatronics and Life Sciences', Eds. Wojnicz, B. Zagrodny, M. Awrejcewicz, E. CB - O. Szymanowska, B. Chua, World Scientific, , Kleiber, T. Wilde, J. Gorski, K. Smakosz, CRC Press, , 71—75 Awrejcewicz, 'The role of mechatronics in development of Lodz agriculture and food-processing', in: 'Management of technological change in agriculture and agri-food industry', Eds. Rogut, B.

    Kunikowski, P. Awrejcewicz, 'Impact of varying excitation frequency on the behaviour of 2-DoF mechanical systems with stick-slip vibrations', in: Springer Proceedings in Mathematics and Statics - Dynamical Systems: Theoretical and Experimental Analysis, Ed. Awrejcewicz, Springer, , Awrejcewicz, 'On the dynamics of the rigid body lying on the vibrating table with the use of special approximations of the resulting friction forces', in: Springer Proceedings in Mathematics and Statics - 'Dynamical Systems: Theoretical and Experimental Analysis', Ed.

    Mrozowski, D. Awrejcewicz, 'Modelling of forward fall on outstretched hands and a system with ground contact', in: Springer Proceedings in Mathematics and Statics - 'Dynamical Systems: Modelling', Ed. Szymanowska, G. Szymkiewicz, D. Lewandowski, D. Awrejcewicz, 'Hydraulically driven unit converting rotational motion into linear one', in: Springer Proceedings in Mathematics and Statics - 'Dynamical Systems: Modelling', Ed. Awrejcewicz, 'Mathematical modelling and investigations of the hexapod robot', in: Research Advances in Applied Mechanics, R. Papkova, N. Erofeev, V. Krysko, 'Chaotic dynamics of structural members under regular periodic and white noise excitations', in: Numerical Analysis and its Applications, I.

    Dimov, I. Farago, L. Vulkov Eds. Awrejcewicz, N. Dobriyan, V. Krysko, 'Dissipative dynamics of a geometrically nonlinear Bernoulli-Euler beam under the action of a transverse load and control noises', in: Vibration, Control and Stability of Dynamical Systems, Eds. Losyeva, V. Puzyrov, 'Gyroscopic forces and asymptotic stability for mechanical systems with partial energy dissipation', in: Vibration, Control and Stability of Dynamical Systems, Eds.

    Awrejcewicz, 'Non-linear dynamics of flexibly suspended spring pendulum embedded in gravity and electric fields', in: Vibration, Control and Stability of Dynamical Systems, Eds.

    Chapter 005, Vibration Analysis Chapter 005, Vibration Analysis
    Chapter 005, Vibration Analysis Chapter 005, Vibration Analysis
    Chapter 005, Vibration Analysis Chapter 005, Vibration Analysis
    Chapter 005, Vibration Analysis Chapter 005, Vibration Analysis
    Chapter 005, Vibration Analysis Chapter 005, Vibration Analysis
    Chapter 005, Vibration Analysis Chapter 005, Vibration Analysis

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