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Sweep sweep_local_tip_force_to_bending_torque_mapping from simulate_pneumatic_planar_pcs.py
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examples/simulate_pneumatic_planar_pcs.py

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@@ -58,40 +58,6 @@
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auxiliary_fns["jacobian_fn"],
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)
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def sweep_local_tip_force_to_bending_torque_mapping():
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def compute_bending_torque(q: Array) -> Array:
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# backbone coordinate of the end-effector
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s_ee = jnp.sum(params["l"])
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# compute the pose of the end-effector
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chi_ee = forward_kinematics_fn(params, q, s_ee)
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# orientation of the end-effector
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th_ee = chi_ee[2]
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# compute the jacobian of the end-effector
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J_ee = auxiliary_fns["jacobian_fn"](params, q, s_ee)
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# local tip force
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f_ee_local = jnp.array([0.0, 1.0])
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# tip force in inertial frame
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f_ee = jnp.array([[jnp.cos(th_ee), -jnp.sin(th_ee)], [jnp.sin(th_ee), jnp.cos(th_ee)]]) @ f_ee_local
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# compute the generalized torque
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tau_be = J_ee[:2, 0].T @ f_ee
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return tau_be
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kappa_be_pts = jnp.arange(-2*jnp.pi, 2*jnp.pi, 0.01)
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sigma_ax_pts = jnp.zeros_like(kappa_be_pts)
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q_pts = jnp.stack([kappa_be_pts, sigma_ax_pts], axis=-1)
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tau_be_pts = vmap(compute_bending_torque)(q_pts)
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# plot the mapping on the bending strain
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fig, ax = plt.subplots(num="planar_pcs_local_tip_force_to_bending_torque_mapping")
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plt.title(r"Mapping from $f_\mathrm{ee}$ to $\tau_\mathrm{be}$")
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ax.plot(kappa_be_pts, tau_be_pts, linewidth=2.5)
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ax.set_xlabel(r"$\kappa_\mathrm{be}$ [rad/m]")
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ax.set_ylabel(r"$\tau_\mathrm{be}$ [N m]")
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plt.grid(True)
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plt.tight_layout()
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plt.show()
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def sweep_actuation_mapping():
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# evaluate the actuation matrix for a straight backbone
@@ -285,6 +251,5 @@ def simulate_robot():
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plt.show()
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if __name__ == "__main__":
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sweep_local_tip_force_to_bending_torque_mapping()
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sweep_actuation_mapping()
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simulate_robot()

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