Academia.eduAcademia.edu

Figure 11 – uploaded by Rohit Kumar

See full PDFdownloadDownload figure
Figure 3.3 Sketch of Contact Force on the Contact Surface equations in the three contact conditions (note that {n, t, t} is the local coordinate

Figure 3 3 Sketch of Contact Force on the Contact Surface equations in the three contact conditions (note that {n, t, t} is the local coordinate

Related Figures (100)

Fixture unit stiffness is defined as the force required for a unit deformation of the fixture unit in normal and tangential directions at the contact position with the workpiece. For example, Figure 1.3 shows the definition of the fixture unit stiffness Ky, in the norma
Fixture unit stiffness is defined as the force required for a unit deformation of the fixture unit in normal and tangential directions at the contact position with the workpiece. For example, Figure 1.3 shows the definition of the fixture unit stiffness Ky, in the norma
taken into account because of the expense of computation. Figure 1.4 A Basic Assembly Unit of T-Slot-Based Modular Fixture
taken into account because of the expense of computation. Figure 1.4 A Basic Assembly Unit of T-Slot-Based Modular Fixture
Figure 1.5 Sketch of Fixture Deformations
Figure 1.5 Sketch of Fixture Deformations
Figure 1.7 Integrated Fixture Design System as to gain insight into the nature of the interaction between fixture components.
Figure 1.7 Integrated Fixture Design System as to gain insight into the nature of the interaction between fixture components.
drilling processes. Figure 2.1 shows the fixture-workpiece model that was used in FEA. Figure 2.1 Fixture-Workpiece Model
drilling processes. Figure 2.1 shows the fixture-workpiece model that was used in FEA. Figure 2.1 Fixture-Workpiece Model
Table 2.1 Literature Survey of Fixture-workpiece Model
Table 2.1 Literature Survey of Fixture-workpiece Model
Table 2.2 Literature Survey of Fixture Stiffness
Table 2.2 Literature Survey of Fixture Stiffness
Table 2.3 Literature Surveys of Contact Parameters 2.3 Summary of Current Research As a result, the current state-of-the art technologies suffer some major limitations that can
Table 2.3 Literature Surveys of Contact Parameters 2.3 Summary of Current Research As a result, the current state-of-the art technologies suffer some major limitations that can
Figure 3.1 Contact Model of Two Fixture Components friction.
Figure 3.1 Contact Model of Two Fixture Components friction.
Figure3.2 Physical Model of the Contact Conditions
Figure3.2 Physical Model of the Contact Conditions
Figure 3.4 (a) Flow Chart of the Analysis Procedure
Figure 3.4 (a) Flow Chart of the Analysis Procedure
1.75x10’ Ib/in, and the tangential contact stiffness, kt = 1.75x10’ Ib/in. Figure 3.5 Contact Problem between Two Beams Subjected to End Loads
1.75x10’ Ib/in, and the tangential contact stiffness, kt = 1.75x10’ Ib/in. Figure 3.5 Contact Problem between Two Beams Subjected to End Loads
show the significant effects of contact stiffness on the deformation of the contact beams. Figure 3.7 Comparison of the Deflection of a Contact Beam (at the Position Y=0 in. and Z=10 in.) Having Variable Contact Stiffness with the Corresponding Single Continuous Beam the right beam becomes larger. The results from the FEA validate the contact model and
show the significant effects of contact stiffness on the deformation of the contact beams. Figure 3.7 Comparison of the Deflection of a Contact Beam (at the Position Y=0 in. and Z=10 in.) Having Variable Contact Stiffness with the Corresponding Single Continuous Beam the right beam becomes larger. The results from the FEA validate the contact model and
shown in Figure 3.8. Figure 3.8 The FEA Model of a Typical Fixture Unit components (a 500x500x100 mm fixture base and a 100x100x300 mm support), as
shown in Figure 3.8. Figure 3.8 The FEA Model of a Typical Fixture Unit components (a 500x500x100 mm fixture base and a 100x100x300 mm support), as
Table 3.1 Deflection of the Fixture Unit for Different Load Combinations
Table 3.1 Deflection of the Fixture Unit for Different Load Combinations
fixtures. Figure 3.9 Typical Deflection Curve of Fixture Units from FEA problems, such as the wear of fixture components, particularly when using modular
fixtures. Figure 3.9 Typical Deflection Curve of Fixture Units from FEA problems, such as the wear of fixture components, particularly when using modular
Figure 3.10 Deflection Curves under Different Fastening Forces from FEA
Figure 3.10 Deflection Curves under Different Fastening Forces from FEA
Figure 3.11 Deflection Curves from Previous Experiments (Zhu, 1993)
Figure 3.11 Deflection Curves from Previous Experiments (Zhu, 1993)
The frictional force acting on the contact surface follows the Coulomb law of friction.
The frictional force acting on the contact surface follows the Coulomb law of friction.
Figure 4.3 Levels of Independent Variables
Figure 4.3 Levels of Independent Variables
Table 4.1 Material Prosperity of Specimens Table 4.1. The contact surface was generated in a turning operation.
Table 4.1 Material Prosperity of Specimens Table 4.1. The contact surface was generated in a turning operation.
The experimental setup is comprised of multimeters (HP3478A), the power supply
The experimental setup is comprised of multimeters (HP3478A), the power supply
loads. The proximities are calibrated. normal direction. A torque wrench with a capacity of 250 in-Ib is used to measure normal Figure 4.5 Experimental Setup preload bolt and the indenter are used to apply uniform distribution of normal loads in a locks, two riser plates, and the base plate were chosen as a fixed reference frame. The
loads. The proximities are calibrated. normal direction. A torque wrench with a capacity of 250 in-Ib is used to measure normal Figure 4.5 Experimental Setup preload bolt and the indenter are used to apply uniform distribution of normal loads in a locks, two riser plates, and the base plate were chosen as a fixed reference frame. The
Table 4.2 Applied torque, the resulted normal loads and surface pressure
Table 4.2 Applied torque, the resulted normal loads and surface pressure
(Surface finish Ra = 3.08; Radius =0.5in)
(Surface finish Ra = 3.08; Radius =0.5in)
(Surface Finish Ra = 3.08; Radius =0.5in)
(Surface Finish Ra = 3.08; Radius =0.5in)
Figure 4.9 Structure Stiffness and Contact Stiffness versus Normal Loads
Figure 4.9 Structure Stiffness and Contact Stiffness versus Normal Loads
Figure 4.11 Effects of the Contact Area on the Contact Stiffness
Figure 4.11 Effects of the Contact Area on the Contact Stiffness
Table 4.3 Roughness Profiles Ra (um)
Table 4.3 Roughness Profiles Ra (um)
Figure 4.12 Roughness Profile Measurement
Figure 4.12 Roughness Profile Measurement
surface finish leads to higher contact stiffness.
surface finish leads to higher contact stiffness.
Figure 4.15 One-Dimensional Model for Normal contact Stiffness
Figure 4.15 One-Dimensional Model for Normal contact Stiffness
position x is shown in Figure 4.16. The longitudinal strain at x is given by With use of a bar in Figure 4.15, a small element of length dx (the limiting case of 5x) at The longitudinal stress at the cross-section at x is o=Ee and, hence, the longitudinal force
position x is shown in Figure 4.16. The longitudinal strain at x is given by With use of a bar in Figure 4.15, a small element of length dx (the limiting case of 5x) at The longitudinal stress at the cross-section at x is o=Ee and, hence, the longitudinal force
Table 4.4 Relationship between B and A; When B is Changed from 0.1 to 10
Table 4.4 Relationship between B and A; When B is Changed from 0.1 to 10
from the comparison of experimental results and theoretical results. Then the
from the comparison of experimental results and theoretical results. Then the
results of dynamic tests, as shown in Figure 4.22. is obtained and used in the calculation of natural frequencies, and then compared with the Values Based on Static Test experimental condition, i.e., the same experimental device and preloads, contact stiffness with the previous static measurement results of contact stiffness. Under the same
results of dynamic tests, as shown in Figure 4.22. is obtained and used in the calculation of natural frequencies, and then compared with the Values Based on Static Test experimental condition, i.e., the same experimental device and preloads, contact stiffness with the previous static measurement results of contact stiffness. Under the same
stiffness of these contact surfaces depends on their statistical topographical parameters.
stiffness of these contact surfaces depends on their statistical topographical parameters.
given by Eq. 4.24. Figure 4.25 Model of the Fixture Components in Contact
given by Eq. 4.24. Figure 4.25 Model of the Fixture Components in Contact
specimen. The response was obtained at point M, at the other side of the specimen. Figure 4.27 shows the relationships between tangential contact stiffness and natural
specimen. The response was obtained at point M, at the other side of the specimen. Figure 4.27 shows the relationships between tangential contact stiffness and natural
Figure 4.27 Tangential Stiffness vs. the First Two Natural Frequencies preloads. The contact stiffness can be determined based on the relationships shown it
Figure 4.27 Tangential Stiffness vs. the First Two Natural Frequencies preloads. The contact stiffness can be determined based on the relationships shown it
and numerical results. 1. Preload bolt 2. Upper plate 3. Riser Plate 4. Proximity 5. Base plate 6. Support 7. Specimen 8 Indenter
and numerical results. 1. Preload bolt 2. Upper plate 3. Riser Plate 4. Proximity 5. Base plate 6. Support 7. Specimen 8 Indenter
agreement.
agreement.
Figure 4.30 Natural Frequencies of First Two Modes versus Preloads
Figure 4.30 Natural Frequencies of First Two Modes versus Preloads
Figure 4.31 Tangential Contact Stiffness under Different Preloads
Figure 4.31 Tangential Contact Stiffness under Different Preloads
Figure A.2 Mean Values of All Relative Data vs. Normal Loads Table A.3 All Relative Data vs. Normal Loads
Figure A.2 Mean Values of All Relative Data vs. Normal Loads Table A.3 All Relative Data vs. Normal Loads
Table A.6 Displacements (Mean Value) vs. Surface Pressure
Table A.6 Displacements (Mean Value) vs. Surface Pressure
Figure A.3 Displacements (Mean Value) vs. Surface Pressure
Figure A.3 Displacements (Mean Value) vs. Surface Pressure
Table B.3 All Relative Data vs. Normal Loads Table B.4 Surface Pressure Caused by Normal Loads
Table B.3 All Relative Data vs. Normal Loads Table B.4 Surface Pressure Caused by Normal Loads
Table C.4 Surface Pressure Caused by Normal Loads
Table C.4 Surface Pressure Caused by Normal Loads
Table C.3 All Relative Data vs. Normal Loads Figure C.2 Mean Values of All Relative Data vs. Normal Loads
Table C.3 All Relative Data vs. Normal Loads Figure C.2 Mean Values of All Relative Data vs. Normal Loads
Table D.2 Relative Measured Data (Unit: Volt)
Table D.2 Relative Measured Data (Unit: Volt)
Figure D.1 All Relative Data vs. Normal Loads
Figure D.1 All Relative Data vs. Normal Loads
Table D.3 All Relative Data vs. Normal Loads
Table D.3 All Relative Data vs. Normal Loads
Figure D.2 Mean Values of All Relative Data vs. Normal Loads
Figure D.2 Mean Values of All Relative Data vs. Normal Loads
Related topics:
Computer Science
580 California St., Suite 400
San Francisco, CA, 94104
© 2025 Academia. All rights reserved