Coupled Rigid-Deformable Body Formulation for Analysis of Joint Stress and Deformation During Gait

1999 ◽  
Author(s):  
Chad B. Hovey ◽  
Jean H. Heegaard

Abstract Analysis of human gait often uses rigid body dynamics to predict joint motions and forces [Andriacchi, et al., 1997]. While these approaches can help identify healthy and pathological human movement, the rigid body assumption does not allow determination of stress and deformation within the joint. This information is desirable not only to help understand the etiology of joint disease, but also for determining how joint replacements will perform once implanted. Finite element analysis, used to determine joint stress and deformation, employs boundary conditions which are intended to simulate physiological conditions [Maxian, et al, 1996]. Because these boundary conditions are defined a priori, it remains unclear as to how well these applied tractions and displacements match what is truly occurring during human motion.

Author(s):  
Justin P. Fisk ◽  
Jennifer S. Wayne

Musculoskeletal computational modeling can be a powerful and useful tool to study joint behavior, examine muscle and ligament function, measure joint contact pressures, simulate injury, and analyze the biomechanical results of reconstructive procedures. Commonly, biomechanical models are based on either finite element analysis (FEA) or three-dimensional rigid body dynamics. While each approach has advantages for specific applications, rigid body dynamics algorithms are highly efficient [1], thus significantly reducing solution time. Many musculoskeletal models of the elbow have been developed [2, 3], but all have constrained the articulations to have particular degrees of freedom and ignored the effects of ligaments. An accurate and robust model without these limitations has potential as a clinical tool to predict the outcome of injuries and/or surgical procedures. This work develops and validates an accurate computational model of the elbow joint whereby joint kinematics are dictated by three-dimensional bony geometry contact, ligamentous constraints, and muscle loading.


Author(s):  
Varun Mathur ◽  
Raymond K. Yee

Abstract A quadcopter is an Unmanned Aerial Vehicle (UAV) with 4 propellers providing required force for motion. It has four equally spaced rotors, typically arranged at the corners of a central body. With four independent rotors, the need for a swashplate mechanism like that in a regular helicopter is alleviated. Due to the rotation of the propellers attached to a quadcopter an upward thrust is generated. The maneuverability of a quadcopter is primarily controlled by adjusting the speed of each propeller attached to a rotor which in turn creates different lifting forces for maneuvering. The objective of this work is to design a 2-axes rotation mechanism for a shaft while its propeller rotates about its own (the 3rd) axis in a 1 m by 1 m quadcopter. Besides the spinning of a propeller axis, two other perpendicular axes in the mechanism are capable of pivoting in a flight which dynamically modifies the thrust vector direction and enhances the quadcopter’s maneuverability. The project was accomplished by performing several key tasks involving mechanism design using bevel gears, shafts, and motors, computational fluid dynamics analysis to determine aerodynamic thrusts and airflow pattern, rigid body dynamics analysis to evaluate forces and torques at different sections of the mechanism, and finite element analysis of mechanical components to optimize the stresses and fatigue as well as their corresponding safety factors. The final mechanism design provides mobility similar to a spherical joint capable of pivoting from −45 degrees to 45 degrees about 2 orthogonal axes for a small size drone. The results of rigid body dynamics analyses for a small size drone indicate that the minimum required motor torque is about 0.5 N-m, based on using a 40-mm driving nylon gear with gear ratio of 1:2 and an aluminum shaft with its propeller rotating at 2000 rad/sec, the nylon gear is good for 5 million cycles, the ABS plastic fixture is good for 10 million cycles and the shaft was designed for 1 billion cycles of fatigue life. Further study would be required in developing the control system for this quadcopter design and optimizing the entire structure of the drone, prototype verification of the mechanism design on flight maneuverability is also recommended. A parallel study using the layered composite design is currently undertaken. A comparison between metal and fiber composite shafts on weight reduction and performance of the mechanism would be revealed in our next paper.


2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Kiwon Park ◽  
Hyoung-Jong Ahn ◽  
Kwang-Hee Lee ◽  
Chul-Hee Lee

The present study emphasized on the optimal design of a motorized prosthetic leg and evaluation of its performance for stair walking. Developed prosthetic leg includes two degrees of freedom on the knee and ankle joint designed using a virtual product development process for better stair walking. The DC motor system was introduced to imitate gait motion in the knee joint, and a spring system was applied at the ankle joint to create torque and flexion angle. To design better motorized prosthetic leg, unnecessary mass was eliminated via a topology optimization process under a complex walking condition in a boundary considered condition and aluminum alloy for lower limb and plastic nylon through 3D printing foot which were used. The structural safety of a developed prosthetic leg was validated via finite element analysis under a variety of walking conditions. In conclusion, the motorized prosthetic leg was optimally designed while maintaining structural safety under boundary conditions based on the human walking data, and its knee motions were synchronized with normal human gait via a PD controller. The results from this study about powered transfemoral prosthesis might help amputees in their rehabilitation process. Furthermore, this research can be applied to the area of biped robots that try to mimic human motion.


Sensors ◽  
2021 ◽  
Vol 21 (4) ◽  
pp. 1388
Author(s):  
Daniele Oboe ◽  
Luca Colombo ◽  
Claudio Sbarufatti ◽  
Marco Giglio

The inverse Finite Element Method (iFEM) is receiving more attention for shape sensing due to its independence from the material properties and the external load. However, a proper definition of the model geometry with its boundary conditions is required, together with the acquisition of the structure’s strain field with optimized sensor networks. The iFEM model definition is not trivial in the case of complex structures, in particular, if sensors are not applied on the whole structure allowing just a partial definition of the input strain field. To overcome this issue, this research proposes a simplified iFEM model in which the geometrical complexity is reduced and boundary conditions are tuned with the superimposition of the effects to behave as the real structure. The procedure is assessed for a complex aeronautical structure, where the reference displacement field is first computed in a numerical framework with input strains coming from a direct finite element analysis, confirming the effectiveness of the iFEM based on a simplified geometry. Finally, the model is fed with experimentally acquired strain measurements and the performance of the method is assessed in presence of a high level of uncertainty.


Author(s):  
Mate Antali ◽  
Gabor Stepan

AbstractIn this paper, the general kinematics and dynamics of a rigid body is analysed, which is in contact with two rigid surfaces in the presence of dry friction. Due to the rolling or slipping state at each contact point, four kinematic scenarios occur. In the two-point rolling case, the contact forces are undetermined; consequently, the condition of the static friction forces cannot be checked from the Coulomb model to decide whether two-point rolling is possible. However, this issue can be resolved within the scope of rigid body dynamics by analysing the nonsmooth vector field of the system at the possible transitions between slipping and rolling. Based on the concept of limit directions of codimension-2 discontinuities, a method is presented to determine the conditions when the two-point rolling is realizable without slipping.


Materials ◽  
2021 ◽  
Vol 14 (10) ◽  
pp. 2590
Author(s):  
Che-Yu Lin ◽  
Ke-Vin Chang

Most biomaterials and tissues are viscoelastic; thus, evaluating viscoelastic properties is important for numerous biomedical applications. Compressional viscoelastography is an ultrasound imaging technique used for measuring the viscoelastic properties of biomaterials and tissues. It analyzes the creep behavior of a material under an external mechanical compression. The aim of this study is to use finite element analysis to investigate how loading conditions (the distribution of the applied compressional pressure on the surface of the sample) and boundary conditions (the fixation method used to stabilize the sample) can affect the measurement accuracy of compressional viscoelastography. The results show that loading and boundary conditions in computational simulations of compressional viscoelastography can severely affect the measurement accuracy of the viscoelastic properties of materials. The measurement can only be accurate if the compressional pressure is exerted on the entire top surface of the sample, as well as if the bottom of the sample is fixed only along the vertical direction. These findings imply that, in an experimental validation study, the phantom design should take into account that the surface area of the pressure plate must be equal to or larger than that of the top surface of the sample, and the sample should be placed directly on the testing platform without any fixation (such as a sample container). The findings indicate that when applying compressional viscoelastography to real tissues in vivo, consideration should be given to the representative loading and boundary conditions. The findings of the present simulation study will provide a reference for experimental phantom designs regarding loading and boundary conditions, as well as guidance towards validating the experimental results of compressional viscoelastography.


Author(s):  
Giuseppe Catania ◽  
Silvio Sorrentino

In the Rayleigh-Ritz condensation method the solution of the equation of motion is approximated by a linear combination of shape-functions selected among appropriate sets. Extensive literature dealing with the choice of appropriate basis of shape functions exists, the selection depending on the particular boundary conditions of the structure considered. This paper is aimed at investigating the possibility of adopting a set of eigenfunctions evaluated from a simple stucture as a general basis for the analysis of arbitrary-shaped plates. The results are compared to those available in the literature and using standard finite element analysis.


2015 ◽  
Vol 69 ◽  
pp. 40-44
Author(s):  
H.M. Yehia ◽  
E. Saleh ◽  
S.F. Megahid

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