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The purpose of this study is to reduce the residual stress in welded workpieces, optimize the vibratory stress relief treatment process through the use of a vibration generator and enhance the durability and longevity of the workpiece by developing a vibratory stress relief robot that incorporates a multi-manipulator system.

The multi-manipulator combination work is designed so that each manipulator is deployed according to the requirements of vibration stress relief work. Each manipulator works independently and coordinates with others to achieve multi-dimensional vibratory stress relief of the workpiece. A two-degree-of-freedom mobile platform is designed to enable the transverse and longitudinal movement of the manipulator, expanding the working space of the robot. A small electromagnetic superharmonic vibration generator is designed to produce directional vibrations in any orientation. This design addresses the technical challenge of traditional vibration generators being bulky and unable to achieve directional vibrations.

The residual stress relief experiment demonstrates that the residual stress of the workpiece is reduced by approximately 73% through three-degree-of-freedom vibration. The multi-dimensional vibration effectively enhances the relief effect of residual stress, which is beneficial for improving the strength and service life of the workpiece.

A new multi-manipulator robot is proposed to alleviate the residual stress generated by workpiece welding by integrating vibratory stress relief with robotics. It is beneficial to reduce material and energy consumption while enhancing the strength and service life of the workpiece.

This study investigates the impact of Chinese senior leaders’ diplomatic visits on outward and inward foreign direct investment (OFDI and IFDI, respectively). Additionally, it aims to discern the differential impacts of diplomatic visits on FDI across different Chinese administrations.

We utilize data about the diplomatic visits of Chinese senior leaders to 146 host countries. The dataset was divided into two leadership eras: the tenure of President Hu Jintao and Prime Minister Wen Jiabao from 2003 to 2012 and the period from 2013 to 2021 under President Xi Jinping and Prime Minister Li Keqiang. We employ generalized least squares, lagged effect, and two-stage least squares methods to estimate the econometric model. This analytical framework assesses the influence of high-level diplomatic visits on FDI flows, addressing potential time-serial and endogeneity concerns.

The findings reveal that senior leaders’ diplomatic visits significantly boost Chinese OFDI. The effect on IFDI in China is not statistically significant. The administrations of Hu and Xi played positive roles in promoting OFDI. However, only Hu’s administration showed a statistically significant positive relationship with IFDI. The result suggests a potential increase in IFDI between China and host countries within two to three years following diplomatic visits.

This study contributes to the understanding of how Chinese senior leaders’ diplomatic activities affect foreign direct investment. It provides a deeper understanding of Chinese senior leaders’ diplomatic efforts to compensate for investment across two administration periods. It offers insights into the potential influence of diplomatic efforts on FDI, enriching the understanding of diplomacy’s role in international business contexts.

Most economic growth is concentrated in the eastern and coastal provinces of China, while the western and central provinces have not yet experienced the expected economic growth. This study aims to address the following crucial research questions: Do the central and western provinces achieved potential efficiency in economic growth? Have China’s provinces used their resources effectively in implementing economic growth strategies?

The research design concerns the use of a panel dataset on province-specific economic growth in China over the years to 2000–2020. The methodology used was a stochastic frontier gross domestic product (GDP) model with time-varying technical efficiency over time. The approach uses the existing literature to identify the important variables influencing economic growth at the provincial level to model the stochastic frontier GDP model for empirical analysis.

This study concludes that the central provinces show the highest rate of efficiency in economic growth, though not 100%, followed by the Eastern and Western provinces. By increasing and improving skilled education institutes and intensifying supply chain opportunities through foreign direct investment (FDI), the central provinces achieving 100% growth efficiency may not be ruled out.

The modes of economic governance and policies to improve GDP growth have been rapidly changing from increasing incentives to improving competition. Thus, more unique avenues and expansion of the horizon for impending research on provincial, national and international macroeconomics would emerge that would make current methodologies of the growth analysis outdated.

The empirical analysis highlights the importance of improving skilled education institutes and intensifying supply chain opportunities through FDI for achieving sustained economic growth.

The empirical analysis facilitates finding ways to reduce income inequality across provinces in China.

To the authors' knowledge empirical analysis examining the Chinese province-specific economic growth efficiency explicitly has not been carried out using the recent Chinese panel dataset.