Two-scale command shaping for arresting motion in nonlinear systems

Alyukov, Alexander; Leamy, Michael J.

doi:10.1007/s11071-020-05923-w

Cited by 4 publications

(2 citation statements)

References 18 publications

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“…Similarly 𝑐 1 , 𝑐 2 is denoting the coefficient of the dampers. On the other hand 𝑚 1 , 𝑚 2 are representing the mass of the suspended body [39]. Ifthe above mentioned concept is described in lateral direction, then a Two DOF system and Three DOF system can easily be realized using the following figures.…”

Section: Figure 5 the Series Connection Of 'Sms' Modelmentioning

confidence: 99%

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Chakraborty¹,

Bhattacharjee²,

Roy³

et al. 2022

YMER

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Any mechanical system can easily be analyzed with the help of proper designing or modeling. All kinematical constrains are also been considered at the time of modeling. Generally the traditional dynamical differential equations are solved to predict the nature of the system. In this work, some typical types of dynamical mechanical system in taken into consideration and further the dynamical equations are being solved using ‘Series Solutions Technique’ for the analysis of the nonlinear system. The solution is consisting of two sections. Using frequency response analysis via simulation, which section of the solution is more suitable or effective for the designing purpose has also been explained in detail. Finally, the local stability analysis of the entire system is studied in detail with proper numerical simulation. Keywords: Nonlinearity, Series Solution, Stability Analysis, Phase Portrait, Frequency Response Function.

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Section: Figure 5 the Series Connection Of 'Sms' Modelmentioning

confidence: 99%

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Chakraborty¹,

Bhattacharjee²,

Roy³

et al. 2022

YMER

View full text Add to dashboard Cite

show abstract

“…A second grouping of papers addresses vibration control. One paper deals with a passive control method incorporating a nonlinear energy sink [10], while two papers address active control in sliding mode [11] or by command shaping [12]. The problems of timedelay dynamics with a perspective on control are also investigated with the development of a continuation method [13] and the analysis of active control for a rotating beam [14].…”

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confidence: 99%

Advances in stability, bifurcations and nonlinear vibrations in mechanical systems

et al. 2021

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Optimal trajectory planning strategy for underactuated overhead crane with pendulum-sloshing dynamics and full-state constraints

et al. 2022

Nonlinear Dyn

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Two-scale command shaping for arresting motion in nonlinear systems

Cited by 4 publications

References 18 publications

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Advances in stability, bifurcations and nonlinear vibrations in mechanical systems

Optimal trajectory planning strategy for underactuated overhead crane with pendulum-sloshing dynamics and full-state constraints

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