Characterization of Fixed Points of Spring-Mass Model with a Body Govde Eklenmis Yay-Kutle Modelinin Sabit Noktalarinin Karakterizasyonu

2020-10-05
Karagoz, Osman Kaan
Sever, Izel
Dilsad Er, Guner
Saranlı, Uluç
Ankaralı, Mustafa Mert
© 2020 IEEE.The Spring Loaded Inverted Pendulum (SLIP) template has long been known to be an appropriate model for motion dynamics of legged systems. However, SLIP template does not define the stabilization of upper body which is not negligible in humanoid robotic systems, even though it effectively explains running behaviour in terms of center of mass. In this paper, fixed points of the running motion at different running speeds, heights and trunk angle conditions of a reflexive controller developed on a spring-mass model with body whose center of mass and hip joint do not overlap is investigated. After calculating fixed points of the model by numerical analysis methods, it is found that the subspace defined by fixed points consisted of a onedimensional curve. Then, the interaction between the boundaries of the fixed points on the curve representing the steady state running behavior and the adjustable parameter of the model is observed. This observation allows us to examine which running dynamics coordinates the model parameters affect. The results obtained here can be inferred from the running dynamics of systems with body.

Suggestions

Analysis and control of a body-attached spring-mass runner based on central pivot point approach
Karagoz, O. Kaan; Sever, Izel; Saranlı, Uluç; Ankaralı, Mustafa Mert (2020-07-01)
© 2020 IEEE.The Spring-Loaded Inverted Pendulum (SLIP) template and its extensions have long been used as benchmark models for analyzing the dynamics of legged systems in biology and robotics. The fundamental SLIP model is composed of single point mass attached to the ground (during stance phase) via an ideal lossless spring. Many researchers introduced various extensions to this fundamental model, such as damping torque actuation, to handle critical physical phenomena that are unavoidable in real systems. ...
Approximate analytic solutions to non-symmetric stance trajectories of the passive Spring-Loaded Inverted Pendulum with damping
Saranlı, Uluç; Ankaralı, Mustafa Mert (Springer Science and Business Media LLC, 2010-12-01)
This paper introduces an accurate yet analytically simple approximation to the stance dynamics of the Spring-Loaded Inverted Pendulum (SLIP) model in the presence of non-negligible damping and non-symmetric stance trajectories. Since the SLIP model has long been established as an accurate descriptive model for running behaviors, its careful analysis is instrumental in the design of successful locomotion controllers. Unfortunately, none of the existing analytic methods in the literature explicitly take dampi...
Analysis and control of a running spring-mass model with a trunk based on virtual pendulum concept
Karagoz, O K; Secer, G; Ankaralı, Mustafa Mert; Saranli, U (2022-05-26)
© 2022 IOP Publishing Ltd.The spring-loaded inverted pendulum model has been one of the most studied conceptual models in the locomotion community. Even though it can adequately explain the center of mass trajectories of numerous legged animals, it remains insufficient in template-based control of complex robot platforms, being unable to capture additional dynamic characteristics of locomotion exhibited in additional degrees of freedom such as trunk pitch oscillations. In fact, analysis of trunk behavior du...
Validation of a low-order model for closed-loop flow control enable flight
Tchieu, Andrew A.; Kutay, Ali Türker; Muse, Jonathan A.; Calise, Anthony J.; Leonard, Anthony (2008-12-01)
A simple low-order model is derived to determine the flow forces and moments on an airfoil that arbitrarily pitches and plunges with the presence of synthetic jet actuation for the use in an adaptive closed-loop control scheme. The low-order model captures the attached flow response of an airfoil in the presence of synthetic jet actuators near the trailing edge. The model includes two explicit non-linear states for fluid variables and can be easily coupled to the rigid body dynamics of the system. The model...
Measurement of leading and trailing edge vortex shedding mechanism for flapping airfoil in hover using particle image velocimetry technique
Çekinmez, Aybüge; Alemdaroğlu, Hüseyin Nafiz; Department of Aerospace Engineering (2013)
In this thesis, the vortex shedding formation/mechanism for flapping airfoil making the figure of eight motion in hover is investigated experimentally using Particle Image Velocimetry (PIV) technique and numerically for some parameters determined. For this investigation, a new flapping mechanism is designed and implemented to the existing water tank, where the airfoil is traversed laterally, such that the motion depicts a figure of eight. The traversing system is moved both in x (horizontal) and y (vertical...
Citation Formats
O. K. Karagoz, I. Sever, G. Dilsad Er, U. Saranlı, and M. M. Ankaralı, “Characterization of Fixed Points of Spring-Mass Model with a Body Govde Eklenmis Yay-Kutle Modelinin Sabit Noktalarinin Karakterizasyonu,” 2020, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85100321674&origin=inward.