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A three-dimensional (3D) printing error simulation approach is proposed to analyze the influence of tilted vertical beams on the 3D printing accuracy. The purpose of this study is to analyze the influence of such errors on printing accuracy and printing quality for delta-robot 3D printer.

First, the kinematic model of a delta-robot 3D printer with an ideal geometric structure is proposed by using vector analysis. Then, the normal kinematic model of a nonideal delta-robot 3D robot with tilted vertical beams is derived based on the above ideal kinematic model. Finally, a 3D printing error simulation approach is proposed to analyze the influence of tilted vertical beams on the 3D printing accuracy.

The results show that tilted vertical beams can indeed cause 3D printing errors and further influence the 3D printing quality of the final products and that the 3D printing errors of tilted vertical beams are related to the rotation angles of the tilted vertical beams. The larger the rotation angles of the tilted vertical beams are, the greater the geometric deformations of the printed structures.

Three vertical beams and six horizontal beams constitute the supporting parts of the frame of a delta-robot 3D printer. In this paper, the orientations of tilted vertical beams are shown to have a significant influence on 3D printing accuracy. However, the effect of tilted vertical beams on 3D printing accuracy is difficult to capture by instruments. To reveal the 3D printing error mechanisms under the condition of tilted vertical beams, the error generation mechanism and the quantitative influence of tilted vertical beams on 3D printing accuracy are studied by simulating the parallel motion mechanism of a delta-robot 3D printer with tilted vertical beams.

The purpose of this paper is to examine the effects of final delivery solutions on e-shopping usage behaviour by modelling their interaction across residents living in different neighourhoods with availabilities of different facilities, including automated parcel stations (APSs), collection and delivery points (CDPs), and the direct-to-home delivery stations of parcel express firms (PEFs).

The study is based on a survey on e-shopping behaviour and delivery awareness. A mixed structural equation model is used to predict the interactions among availability of final delivery facilities (AFDF), level of satisfaction with delivery services and e-shopping usage after controlling individual socioeconomic attributes and retail environment.

Compared with AFDF, individual socioeconomic attributes are the most influential factors contributing to e-shopping spending and frequency. Improving AFDF has only a slight effect on e-shopping spending, while a larger impact on e-shopping frequency and perceived satisfaction to delivery services is observed. The quantity of PEF delivery stations has a relatively large influence on e-shopping usage but the effects of APSs and CDPs are not as strong as expected.

The causality between final delivery solutions and e-shopping behaviour can be further tested by using social experiments or longitudinal data.

All findings will help business and public policy decision makers to derive a balanced and effective deployment of final delivery solutions, which is also referential for other emerging markets similar to China.

This study theoretically contributes to the international literature by examining the heterogeneous effects of final delivery solutions on different aspects of e-shopping engagement.