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simscape multibody  (MathWorks Inc)
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MathWorks Inc simscape multibody
A , the system at the start of the simulation and after 0.1, 0.2 and 0.3 s. The actuator is composed of one hollow and one full massless cylinder, pulling up a cube of mass 1 kg with a force directed upwards. The system starts from stationary conditions. The gravitational acceleration has been set to 9.81 m s −2 . The upward force starts from 9.81 N and increases with a constant RFD of 60 N s −1 . Images are from the simulation conducted in <t>Simscape</t> <t>Multibody.</t> B , the resulting force (in N), acceleration (in m s −2 ), velocity (in m s −1 ), power ( W ˙ ( t ) , in W), and rate of power development (RPD or W ¨ ( t ) ; in W s −1 ). Power and rate of power development are physically related to RFD according to the equations W ˙ ( t ) = ( RFD t m + g ) RFD t 2 2 and W ¨ ( t ) = RFD 2 m ( 3 RFD t 2 + 2 m g t ) , where t is the elapsed time (s), m is the mass of the cube (kg) and g is the gravitational acceleration (m s −2 ). See main text for the analytical explanation. C , several W ˙ ( t ) functions with RFD varying from 60 to 90 N s −1 in steps of 5, and their projections on the power‐time plane.
Simscape Multibody, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 96/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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in house matlab scripts  (MathWorks Inc)
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A , the system at the start of the simulation and after 0.1, 0.2 and 0.3 s. The actuator is composed of one hollow and one full massless cylinder, pulling up a cube of mass 1 kg with a force directed upwards. The system starts from stationary conditions. The gravitational acceleration has been set to 9.81 m s −2 . The upward force starts from 9.81 N and increases with a constant RFD of 60 N s −1 . Images are from the simulation conducted in <t>Simscape</t> <t>Multibody.</t> B , the resulting force (in N), acceleration (in m s −2 ), velocity (in m s −1 ), power ( W ˙ ( t ) , in W), and rate of power development (RPD or W ¨ ( t ) ; in W s −1 ). Power and rate of power development are physically related to RFD according to the equations W ˙ ( t ) = ( RFD t m + g ) RFD t 2 2 and W ¨ ( t ) = RFD 2 m ( 3 RFD t 2 + 2 m g t ) , where t is the elapsed time (s), m is the mass of the cube (kg) and g is the gravitational acceleration (m s −2 ). See main text for the analytical explanation. C , several W ˙ ( t ) functions with RFD varying from 60 to 90 N s −1 in steps of 5, and their projections on the power‐time plane.
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curve fitting toolbox  (MathWorks Inc)
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MathWorks Inc curve fitting toolbox
A , the system at the start of the simulation and after 0.1, 0.2 and 0.3 s. The actuator is composed of one hollow and one full massless cylinder, pulling up a cube of mass 1 kg with a force directed upwards. The system starts from stationary conditions. The gravitational acceleration has been set to 9.81 m s −2 . The upward force starts from 9.81 N and increases with a constant RFD of 60 N s −1 . Images are from the simulation conducted in <t>Simscape</t> <t>Multibody.</t> B , the resulting force (in N), acceleration (in m s −2 ), velocity (in m s −1 ), power ( W ˙ ( t ) , in W), and rate of power development (RPD or W ¨ ( t ) ; in W s −1 ). Power and rate of power development are physically related to RFD according to the equations W ˙ ( t ) = ( RFD t m + g ) RFD t 2 2 and W ¨ ( t ) = RFD 2 m ( 3 RFD t 2 + 2 m g t ) , where t is the elapsed time (s), m is the mass of the cube (kg) and g is the gravitational acceleration (m s −2 ). See main text for the analytical explanation. C , several W ˙ ( t ) functions with RFD varying from 60 to 90 N s −1 in steps of 5, and their projections on the power‐time plane.
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A , the system at the start of the simulation and after 0.1, 0.2 and 0.3 s. The actuator is composed of one hollow and one full massless cylinder, pulling up a cube of mass 1 kg with a force directed upwards. The system starts from stationary conditions. The gravitational acceleration has been set to 9.81 m s −2 . The upward force starts from 9.81 N and increases with a constant RFD of 60 N s −1 . Images are from the simulation conducted in Simscape Multibody. B , the resulting force (in N), acceleration (in m s −2 ), velocity (in m s −1 ), power ( W ˙ ( t ) , in W), and rate of power development (RPD or W ¨ ( t ) ; in W s −1 ). Power and rate of power development are physically related to RFD according to the equations W ˙ ( t ) = ( RFD t m + g ) RFD t 2 2 and W ¨ ( t ) = RFD 2 m ( 3 RFD t 2 + 2 m g t ) , where t is the elapsed time (s), m is the mass of the cube (kg) and g is the gravitational acceleration (m s −2 ). See main text for the analytical explanation. C , several W ˙ ( t ) functions with RFD varying from 60 to 90 N s −1 in steps of 5, and their projections on the power‐time plane.

Journal: The Journal of Physiology

Article Title: Neuromuscular mechanisms for the fast decline in rate of force development with muscle disuse – a narrative review

doi: 10.1113/JP285667

Figure Lengend Snippet: A , the system at the start of the simulation and after 0.1, 0.2 and 0.3 s. The actuator is composed of one hollow and one full massless cylinder, pulling up a cube of mass 1 kg with a force directed upwards. The system starts from stationary conditions. The gravitational acceleration has been set to 9.81 m s −2 . The upward force starts from 9.81 N and increases with a constant RFD of 60 N s −1 . Images are from the simulation conducted in Simscape Multibody. B , the resulting force (in N), acceleration (in m s −2 ), velocity (in m s −1 ), power ( W ˙ ( t ) , in W), and rate of power development (RPD or W ¨ ( t ) ; in W s −1 ). Power and rate of power development are physically related to RFD according to the equations W ˙ ( t ) = ( RFD t m + g ) RFD t 2 2 and W ¨ ( t ) = RFD 2 m ( 3 RFD t 2 + 2 m g t ) , where t is the elapsed time (s), m is the mass of the cube (kg) and g is the gravitational acceleration (m s −2 ). See main text for the analytical explanation. C , several W ˙ ( t ) functions with RFD varying from 60 to 90 N s −1 in steps of 5, and their projections on the power‐time plane.

Article Snippet: The system was solved analytically, and numerically verified with Simscape Multibody (MATLAB v2023b; MathWorks, Natick, MA, USA).

Techniques: