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adp_laufrobotik:adp_2013 [24.11.2013 23:40] – [Way of modeling] Fabian Zwetschadp_laufrobotik:adp_2013 [27.11.2022 23:55] (aktuell) – Externe Bearbeitung 127.0.0.1
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 ====== Demonstrator ====== ====== Demonstrator ======
 +
 +^ Thema | Demonstrator |
 +^ Veranstaltung | [[:veranstaltungen#adp_laufrobotik|ADP Laufrobotik]] |
 +^ Semester | SS 2012/13 |
 +^ Namen | Hammen, F., Spring, B., Lahnstein, J., Zwetsch, F., [[:team#Filip_Cengic|Cengic, F.]]|
 +
 ===== Introduction ===== ===== Introduction =====
  
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 ==== Hill-type muscle model ==== ==== Hill-type muscle model ====
-//+
 The mechanical structure of the muscle can be described by the following simplified parts: muscle The mechanical structure of the muscle can be described by the following simplified parts: muscle
 fiber, tendon, aponeurosis and the connective tissue. With these abstracted informations given the fiber, tendon, aponeurosis and the connective tissue. With these abstracted informations given the
 mechanical behavior of the muscle can be fully understood. mechanical behavior of the muscle can be fully understood.
-//+
  
 The tendon and aponeurosis have elastic properties with a nonlinear stress-strain behavior and are The tendon and aponeurosis have elastic properties with a nonlinear stress-strain behavior and are
Zeile 71: Zeile 77:
 relations (see <imgref image1>) [[adp_laufrobotik:adp_2013:bibliography|[Hil38]]]. relations (see <imgref image1>) [[adp_laufrobotik:adp_2013:bibliography|[Hil38]]].
  
-//+
 <imgcaption image1|Hill-type muscle model [Hen06, S. 20]> <imgcaption image1|Hill-type muscle model [Hen06, S. 20]>
 {{ :adp_laufrobotik:adp_2013:bild1.jpg?direct&500 |Hill-type muscle model}} {{ :adp_laufrobotik:adp_2013:bild1.jpg?direct&500 |Hill-type muscle model}}
 </imgcaption> </imgcaption>
-//+
 ==== Modified Hill-type muscle model by Daniel Häufle ==== ==== Modified Hill-type muscle model by Daniel Häufle ====
 In the muscle model to Häufle et al. [[adp_laufrobotik:adp_2013:bibliography|[HGB12]]], it is an extension of the Hill model. Häufle’s contractile In the muscle model to Häufle et al. [[adp_laufrobotik:adp_2013:bibliography|[HGB12]]], it is an extension of the Hill model. Häufle’s contractile
Zeile 89: Zeile 95:
 // //
 ==== Way of modeling ==== ==== Way of modeling ====
-//+
 At the time of concept invention the pros and cons of translational and rotational systems were discussed. At the time of concept invention the pros and cons of translational and rotational systems were discussed.
 It has emerged that purely translational systems are highly complex in their mechanical It has emerged that purely translational systems are highly complex in their mechanical
Zeile 96: Zeile 102:
 teaching. Translational movements are usually done on the basis of rails and are exposed to a lot of teaching. Translational movements are usually done on the basis of rails and are exposed to a lot of
 constraints. Thus, the material and space requirements are significantly increased. constraints. Thus, the material and space requirements are significantly increased.
-// + 
-// +
-// +
-//+
 In the ADP designed demonstrator is a symbiosis of both systems. In order to simulate the realistic In the ADP designed demonstrator is a symbiosis of both systems. In order to simulate the realistic
 human hopping pattern, translational systems are used. To reduce the degree of complexity rotational human hopping pattern, translational systems are used. To reduce the degree of complexity rotational
 systems were used. systems were used.
-//+
 ===== Exisiting demonstrators ===== ===== Exisiting demonstrators =====
-//+
 Hopping can be understood as the same as running but without horizontal motion. In human hopping Hopping can be understood as the same as running but without horizontal motion. In human hopping
 a spring-like leg behaviour is found while the legs are not made of springs. Based on the reflex a spring-like leg behaviour is found while the legs are not made of springs. Based on the reflex
 model it was shown that a positive force-feedback strategy, a kind of muscle reflex, generates a model it was shown that a positive force-feedback strategy, a kind of muscle reflex, generates a
 spring-like leg behaviour just without elastic components. spring-like leg behaviour just without elastic components.
 +
 With the Marco hopper we have the chance to clearly understand the requirements for real world With the Marco hopper we have the chance to clearly understand the requirements for real world
 hopping motions in the case of absent elasticity. hopping motions in the case of absent elasticity.
-//+
 ==== Marco Hopper ==== ==== Marco Hopper ====
-//+
 The construction and the design of the two-legged robots are limited by certain characteristics of The construction and the design of the two-legged robots are limited by certain characteristics of
 engines, such as the torque, the rotational speed or the friction caused by the material. engines, such as the torque, the rotational speed or the friction caused by the material.
 +
 To improve the efficiency and stability of gait (e.g. walking, running, jumping), more often springlike To improve the efficiency and stability of gait (e.g. walking, running, jumping), more often springlike
 structures in walking robots are installed. It is assumed that mainly the tendons of the biological structures in walking robots are installed. It is assumed that mainly the tendons of the biological
Zeile 122: Zeile 128:
 findings show that simulated reflex controlled muscles may behave like a spring, although the tendon findings show that simulated reflex controlled muscles may behave like a spring, although the tendon
 is completely stiff. Therefore, a quasi-elastic behaviour of the limbs does not necessarily require is completely stiff. Therefore, a quasi-elastic behaviour of the limbs does not necessarily require
-passive-elastic structures within the body. Seyfarth et al. presented in their paper [SKG07] the+passive-elastic structures within the body. Seyfarth et al. presented in their paper [[adp_laufrobotik:adp_2013:bibliography|[SKG07]]] the
 Marco Hopper Robot to pursue the question whether a pattern can arise from pure muscle reflex Marco Hopper Robot to pursue the question whether a pattern can arise from pure muscle reflex
 activity that is similar to the hopping pattern of a one-legged jump with contact and flight phase. activity that is similar to the hopping pattern of a one-legged jump with contact and flight phase.
 Marco consists of a body and a motor driven leg, which can be moved in vertical direction. Marco consists of a body and a motor driven leg, which can be moved in vertical direction.
-Figure 2.3 shows the technical implementation of the Marco Hopper. A sledge representing the+ 
 +<imgref image3> shows the technical implementation of the Marco Hopper. A sledge representing the
 body slides up and down on ball bearings on a vertical ramp. A rigid leg segment is attached to the body slides up and down on ball bearings on a vertical ramp. A rigid leg segment is attached to the
 sledge and can move up and down. On the sledge a motor is fitted. Moving the leg segment attached sledge and can move up and down. On the sledge a motor is fitted. Moving the leg segment attached
Zeile 133: Zeile 140:
 segment follows the laws of free fall. At the lower end of the leg segment a little ball consisting of segment follows the laws of free fall. At the lower end of the leg segment a little ball consisting of
 Adiprene, a strongly absorbing material, is attached. This damper reduces the impact on the ground Adiprene, a strongly absorbing material, is attached. This damper reduces the impact on the ground
-[www7]. +[[adp_laufrobotik:adp_2013:bibliography|[www7]]]. 
-// + 
-// +<imgcaption image3|Marco Hopper [www7]>
-<imgcaption image1|Marco Hopper [www7]>+
 {{ :adp_laufrobotik:adp_2013:bild3.jpg?direct&400 |Marco Hopper}} {{ :adp_laufrobotik:adp_2013:bild3.jpg?direct&400 |Marco Hopper}}
 </imgcaption> </imgcaption>
-// +
-//+
 The inertia of the sledge is increased by the inertia of the motor to 1.9 kg. In addition, a friction The inertia of the sledge is increased by the inertia of the motor to 1.9 kg. In addition, a friction
 force acts at 6 N. This means that the motor makes the leg section with respect to the sledge to a force acts at 6 N. This means that the motor makes the leg section with respect to the sledge to a
 very inert and rigid gadget. This illustrates the fact that the leg segment, pulled by gravity to the very inert and rigid gadget. This illustrates the fact that the leg segment, pulled by gravity to the
 bottom, remains liable if the motor moves upwards. Three sensors detect the status of the Marco: bottom, remains liable if the motor moves upwards. Three sensors detect the status of the Marco:
 +
   * A POSIMAG system measures the vertical position of the sledge   * A POSIMAG system measures the vertical position of the sledge
   * An acceleration sensor measures the acceleration   * An acceleration sensor measures the acceleration
   * A corresponding strain gauge on the bottom plate measures the contact force   * A corresponding strain gauge on the bottom plate measures the contact force
-The length of the leg segment is calculated via numerical integration [www7].+ 
 +The length of the leg segment is calculated via numerical integration [[adp_laufrobotik:adp_2013:bibliography|[www7]]]. 
 Studies with the hopper show how stable hopping can be generated in a robot leg: It demands that Studies with the hopper show how stable hopping can be generated in a robot leg: It demands that
 the energy lost is replaced. This can be done in several ways. The common feature of the models the energy lost is replaced. This can be done in several ways. The common feature of the models
-tested was that the power supply after the mid-stance was larger than the one before [SKG07]. +tested was that the power supply after the mid-stance was larger than the one before [[adp_laufrobotik:adp_2013:bibliography|[SKG07]]]. 
-//+
  
 ==== Limitations of existing systems ==== ==== Limitations of existing systems ====
-//+
 Many demonstrators are designed for modelling a particular movement. An apparatus that can simulate Many demonstrators are designed for modelling a particular movement. An apparatus that can simulate
 several motion features correctly, is far too complex and would exceed the requirement under several motion features correctly, is far too complex and would exceed the requirement under
 this ADP. Our demonstrator simulates human jumping movement taking into account the extensor this ADP. Our demonstrator simulates human jumping movement taking into account the extensor
 muscles in the legs. Which muscle is simulated exactly will be explained in the next chapter. The mass of the demonstrator corresponds to one-eighth of the average human weight as a scale model. muscles in the legs. Which muscle is simulated exactly will be explained in the next chapter. The mass of the demonstrator corresponds to one-eighth of the average human weight as a scale model.
 +
 For technical reasons it is not possible, to realize the demonstrator under unscaled conditions. For technical reasons it is not possible, to realize the demonstrator under unscaled conditions.
 It is further defined by the project management, that the demonstrator is modular interchangeable, It is further defined by the project management, that the demonstrator is modular interchangeable,
Zeile 165: Zeile 174:
 by a damper. The modularity is responsible for the clarity of the model. It will be more user by a damper. The modularity is responsible for the clarity of the model. It will be more user
 friendly and less complicated than the Marco Hopper. friendly and less complicated than the Marco Hopper.
-// 
  
 +====== Human Motion ======
 +
 +This chapter is about hopping and squads. It shows the biomechanics and the involved muscles.
 +Finally the deduction for the demonstrator is mentioned.
 +
 +===== Hopping =====
 +
 +One possible move of the demonstrator is hopping. It bends the knees and stretches it in the connection
 +again and as a result of it, it starts to jump. This repeats several of times.
 +
 +A single jump can be divided into three phases. The first one is downward movement, the second
 +one is stretching and the last one is the flight. It is shown on <imgref image4>.
 +
 +<imgcaption image4|force-time-graph of a single jump [WAS04]>
 +{{ :adp_laufrobotik:adp_2013:humanmotion:bild4.jpg?direct&400 |}}
 +</imgcaption>
 +
 +As it is shown in the graph, the single jump starts with the downward movement. By bending the
 +knees the impulse on the ground decreases. The stretching is initiated with the beginning of the
 +breaking impulse and the impulse on the ground starts to increase until the flight phase. The foot
 +leaves the ground and the force goes to zero.
 +
 +==== Involved muscles and deduction for the demonstrator ====
 +
 +Hopping needs a lot of muscle. But for the demonstrator it is not necessary to mention all of the
 +muscles. The muscles which are mentioned are the one which could be considered for being built in
 +the demonstrator. The important ones for a human hopping are the muscle for the foot flexion, the
 +knee extension and the hip extension.
 +
 +Two important muscles for the foot flexion are the musculus soleus and the musculus
 +gastrocnemius because of their beginning and approach [[adp_laufrobotik:adp_2013:bibliography|[VAL12]]].
 +
 +Musculus soleus has its beginning at dorsal, proximal third of the fibula, in the thirds middle of the
 +tibia and arcus tendineus musculi solei and its approach at the cranial and medial part of the tuber
 +calcanei [[adp_laufrobotik:adp_2013:bibliography|[VAL12]]].
 +
 +Musculus gastrocnemius has its beginning at the condylus medialis and lateralis femoris and its
 +approach cranial and medial part of the tuber calcanei [[adp_laufrobotik:adp_2013:bibliography|[VAL12]]].
 +
 +<imgcaption image5|Musculus soleus and musculus gastrocnemius [www3]>
 +{{ :adp_laufrobotik:adp_2013:humanmotion:bild5.jpg?direct&300 |}}
 +</imgcaption>
 +
 +One important muscle for the knee extension is the musculus quadriceps femoris. Musculus
 +quadriceps femoris, [[adp_laufrobotik:adp_2013:bibliography|[VAL12]]], it has for heads musculus rectus femoris, musculus vastus medialis,
 +musculus vastus intermedius and musculus vastus laterlis.
 +
 +
 +<imgcaption image6|Musculus quadriceps femoris with its for heads [www4]>
 +{{ :adp_laufrobotik:adp_2013:humanmotion:image6.jpg?direct&300 |}}
 +</imgcaption>
 +
 +Musculus rectus femoris has its beginning at the caput rectum ant the spina iliaca anterior inferior
 +and at the caput reflexum at the sulcus supraacetabularis.
 +
 +Musculus vastus medialis has its beginning at linea aspera, linea intertrochanterica and the tendon
 +of the musculi adductor magnus and longus.
 +
 +Musculus vastus intermedius has its beginning at upper two-thirds of the femoral shaft.
 +Musculus vastus lateralis has its beginning at the linea aspera of the femoral, trochanter major and
 +linea intertrochanterica.
 +
 +The approach of all four of them is the ligamentum patellae at the tuberositas tibiae.
 +One important muscle for hip extension is the musculus gluteus maximus. Its beginning dorsal at
 +the os sacrum, fascia thoracolumbalis, ligamentum sacrotuberale, dorsal os ilium and spina iliaca
 +posterior superior and its approach is at the cranial part of the tractus iliotibialis and caudal part of
 +the tuberositas glutea [[adp_laufrobotik:adp_2013:bibliography|[VAL12]]].
 +
 +<imgcaption image7|Musculus gluteus maximus [www5]>
 +{{ :adp_laufrobotik:adp_2013:humanmotion:bild8.jpg?direct&300 |}}
 +</imgcaption>
 +
 +The demonstrator has just one leg, two segments and one motor for keeping the model simple. That
 +means the focus is just on one muscle. The decision fell on musculus rectus femoris. Actually
 +musculus rectus femoris works over two joints, but in this case it is seen as a muscle working over
 +one joint, because we have just one joint at the demonstrator.
 +
 +===== Squad =====
 +
 +The demonstrator is also able to do a simple downward and upward move without a flight like a
 +squad. A squad is can be divided in different phases, too. <imgref image8> shows it.
 +
 +<imgcaption image8|Squad phases with forces on the ground [GHS]>
 +{{ :adp_laufrobotik:adp_2013:humanmotion:bild7.jpg?direct&300 |}}
 +</imgcaption>
 +
 +The squad starts with a downward move, force on the ground decrease, because of the second
 +Newtonian axiom. At the end of the downward move the force increases because of the breaking
 +impulse. In the resting position the force becomes the weight of the body and increases by going
 +upwards because of the force which is needed to stretch the knees. After stretching the knees the
 +force decreases under the weight of the body until the velocity is over. The weight increases to the
 +weight of the body again.
 +
 +==== Involved muscles and deduction for the demonstrator ====
 +
 +The muscles which are used for the squad are almost the same ones like at hopping at chapter
 +"Involved muscles and deduction for the demonstrator", because the movement is a part of the hopping. The most important ones in this case are
 +musculus quadriceps femoris and musculus gluteus maximus.
 +The deductions for a squad a similar like the deduction for the hopping. Musculus rectus femoris
 +would be the best decision in this case, too, because it has a big part on the squad.
 +
 +{{indexmenu_n>3}}
adp_laufrobotik/adp_2013.1385332850.txt.gz · Zuletzt geändert: 27.11.2022 23:54 (Externe Bearbeitung)


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